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Finding the Third Proportional to 60,468 and 93,860

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Solution

The third proportional to 60,468 and 93,860 is: 145,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,468 : 93,860 = 93,860 : x
  2. Step 2: Convert to fraction form
    60,468/93,860 = 93,860/x
  3. Step 3: Cross multiply
    60,468x = 93,860 × 93,860
  4. Step 4: Simplify right side
    60,468x = 8,809,699,600
  5. Step 5: Solve for x
    x = 8,809,699,600/60,468
  6. Step 6: Final answer
    x = 145,691.93

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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.