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Finding the Third Proportional to 60,081 and 93,402

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Solution

The third proportional to 60,081 and 93,402 is: 145,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,081 : 93,402 = 93,402 : x
  2. Step 2: Convert to fraction form
    60,081/93,402 = 93,402/x
  3. Step 3: Cross multiply
    60,081x = 93,402 × 93,402
  4. Step 4: Simplify right side
    60,081x = 8,723,933,604
  5. Step 5: Solve for x
    x = 8,723,933,604/60,081
  6. Step 6: Final answer
    x = 145,202.87

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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.