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Finding the Third Proportional to 60,939 and 97,311

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Solution

The third proportional to 60,939 and 97,311 is: 155,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,939 : 97,311 = 97,311 : x
  2. Step 2: Convert to fraction form
    60,939/97,311 = 97,311/x
  3. Step 3: Cross multiply
    60,939x = 97,311 × 97,311
  4. Step 4: Simplify right side
    60,939x = 9,469,430,721
  5. Step 5: Solve for x
    x = 9,469,430,721/60,939
  6. Step 6: Final answer
    x = 155,391.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.