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Finding the Third Proportional to 106,825.50 and 166,065.75

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Solution

The third proportional to 106,825.50 and 166,065.75 is: 258,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,825.50 : 166,065.75 = 166,065.75 : x
  2. Step 2: Convert to fraction form
    106,825.50/166,065.75 = 166,065.75/x
  3. Step 3: Cross multiply
    106,825.50x = 166,065.75 × 166,065.75
  4. Step 4: Simplify right side
    106,825.50x = 27,577,833,323.06
  5. Step 5: Solve for x
    x = 27,577,833,323.06/106,825.50
  6. Step 6: Final answer
    x = 258,157.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.