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Finding the Third Proportional to 62,101.69 and 83,140.17

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Solution

The third proportional to 62,101.69 and 83,140.17 is: 111,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,101.69 : 83,140.17 = 83,140.17 : x
  2. Step 2: Convert to fraction form
    62,101.69/83,140.17 = 83,140.17/x
  3. Step 3: Cross multiply
    62,101.69x = 83,140.17 × 83,140.17
  4. Step 4: Simplify right side
    62,101.69x = 6,912,288,179.40
  5. Step 5: Solve for x
    x = 6,912,288,179.40/62,101.69
  6. Step 6: Final answer
    x = 111,305.96

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.