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Finding the Third Proportional to 54,165 and 83,706

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Solution

The third proportional to 54,165 and 83,706 is: 129,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,165 : 83,706 = 83,706 : x
  2. Step 2: Convert to fraction form
    54,165/83,706 = 83,706/x
  3. Step 3: Cross multiply
    54,165x = 83,706 × 83,706
  4. Step 4: Simplify right side
    54,165x = 7,006,694,436
  5. Step 5: Solve for x
    x = 7,006,694,436/54,165
  6. Step 6: Final answer
    x = 129,358.34

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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.