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Finding the Third Proportional to 60.96 and 94.71

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Solution

The third proportional to 60.96 and 94.71 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.96 : 94.71 = 94.71 : x
  2. Step 2: Convert to fraction form
    60.96/94.71 = 94.71/x
  3. Step 3: Cross multiply
    60.96x = 94.71 × 94.71
  4. Step 4: Simplify right side
    60.96x = 8,970.16
  5. Step 5: Solve for x
    x = 8,970.16/60.96
  6. Step 6: Final answer
    x = 147.15

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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.