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Finding the Third Proportional to 82,513.69 and 124,693.17

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Solution

The third proportional to 82,513.69 and 124,693.17 is: 188,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.69 : 124,693.17 = 124,693.17 : x
  2. Step 2: Convert to fraction form
    82,513.69/124,693.17 = 124,693.17/x
  3. Step 3: Cross multiply
    82,513.69x = 124,693.17 × 124,693.17
  4. Step 4: Simplify right side
    82,513.69x = 15,548,387,112.25
  5. Step 5: Solve for x
    x = 15,548,387,112.25/82,513.69
  6. Step 6: Final answer
    x = 188,434.04

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