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Finding the Third Proportional to 70,022.25 and 106,089.75

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Solution

The third proportional to 70,022.25 and 106,089.75 is: 160,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,022.25 : 106,089.75 = 106,089.75 : x
  2. Step 2: Convert to fraction form
    70,022.25/106,089.75 = 106,089.75/x
  3. Step 3: Cross multiply
    70,022.25x = 106,089.75 × 106,089.75
  4. Step 4: Simplify right side
    70,022.25x = 11,255,035,055.06
  5. Step 5: Solve for x
    x = 11,255,035,055.06/70,022.25
  6. Step 6: Final answer
    x = 160,735.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.