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Finding the Third Proportional to 60.87 and 95.11

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Solution

The third proportional to 60.87 and 95.11 is: 148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.87 : 95.11 = 95.11 : x
  2. Step 2: Convert to fraction form
    60.87/95.11 = 95.11/x
  3. Step 3: Cross multiply
    60.87x = 95.11 × 95.11
  4. Step 4: Simplify right side
    60.87x = 9,045.79
  5. Step 5: Solve for x
    x = 9,045.79/60.87
  6. Step 6: Final answer
    x = 148.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.