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Finding the Third Proportional to 106,179.75 and 160,089.75

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Solution

The third proportional to 106,179.75 and 160,089.75 is: 241,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,179.75 : 160,089.75 = 160,089.75 : x
  2. Step 2: Convert to fraction form
    106,179.75/160,089.75 = 160,089.75/x
  3. Step 3: Cross multiply
    106,179.75x = 160,089.75 × 160,089.75
  4. Step 4: Simplify right side
    106,179.75x = 25,628,728,055.06
  5. Step 5: Solve for x
    x = 25,628,728,055.06/106,179.75
  6. Step 6: Final answer
    x = 241,371.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.