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Finding the Third Proportional to 72,486 and 97,542

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Solution

The third proportional to 72,486 and 97,542 is: 131,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,486 : 97,542 = 97,542 : x
  2. Step 2: Convert to fraction form
    72,486/97,542 = 97,542/x
  3. Step 3: Cross multiply
    72,486x = 97,542 × 97,542
  4. Step 4: Simplify right side
    72,486x = 9,514,441,764
  5. Step 5: Solve for x
    x = 9,514,441,764/72,486
  6. Step 6: Final answer
    x = 131,259.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.