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Finding the Third Proportional to 60,442 and 90,718

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Solution

The third proportional to 60,442 and 90,718 is: 136,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,442 : 90,718 = 90,718 : x
  2. Step 2: Convert to fraction form
    60,442/90,718 = 90,718/x
  3. Step 3: Cross multiply
    60,442x = 90,718 × 90,718
  4. Step 4: Simplify right side
    60,442x = 8,229,755,524
  5. Step 5: Solve for x
    x = 8,229,755,524/60,442
  6. Step 6: Final answer
    x = 136,159.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.