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Finding the Third Proportional to 60.16 and 129.71

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Solution

The third proportional to 60.16 and 129.71 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.16 : 129.71 = 129.71 : x
  2. Step 2: Convert to fraction form
    60.16/129.71 = 129.71/x
  3. Step 3: Cross multiply
    60.16x = 129.71 × 129.71
  4. Step 4: Simplify right side
    60.16x = 16,823.85
  5. Step 5: Solve for x
    x = 16,823.85/60.16
  6. Step 6: Final answer
    x = 279.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.