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Finding the Third Proportional to 60,216 and 93,542

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Solution

The third proportional to 60,216 and 93,542 is: 145,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,216 : 93,542 = 93,542 : x
  2. Step 2: Convert to fraction form
    60,216/93,542 = 93,542/x
  3. Step 3: Cross multiply
    60,216x = 93,542 × 93,542
  4. Step 4: Simplify right side
    60,216x = 8,750,105,764
  5. Step 5: Solve for x
    x = 8,750,105,764/60,216
  6. Step 6: Final answer
    x = 145,311.97

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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.