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Finding the Third Proportional to 39,656 and 88,060

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Solution

The third proportional to 39,656 and 88,060 is: 195,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,656 : 88,060 = 88,060 : x
  2. Step 2: Convert to fraction form
    39,656/88,060 = 88,060/x
  3. Step 3: Cross multiply
    39,656x = 88,060 × 88,060
  4. Step 4: Simplify right side
    39,656x = 7,754,563,600
  5. Step 5: Solve for x
    x = 7,754,563,600/39,656
  6. Step 6: Final answer
    x = 195,545.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.