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Finding the Third Proportional to 60,514 and 93,915

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Solution

The third proportional to 60,514 and 93,915 is: 145,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,514 : 93,915 = 93,915 : x
  2. Step 2: Convert to fraction form
    60,514/93,915 = 93,915/x
  3. Step 3: Cross multiply
    60,514x = 93,915 × 93,915
  4. Step 4: Simplify right side
    60,514x = 8,820,027,225
  5. Step 5: Solve for x
    x = 8,820,027,225/60,514
  6. Step 6: Final answer
    x = 145,751.85

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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.