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Finding the Third Proportional to 60.28 and 131.45

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Solution

The third proportional to 60.28 and 131.45 is: 286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.28 : 131.45 = 131.45 : x
  2. Step 2: Convert to fraction form
    60.28/131.45 = 131.45/x
  3. Step 3: Cross multiply
    60.28x = 131.45 × 131.45
  4. Step 4: Simplify right side
    60.28x = 17,279.92
  5. Step 5: Solve for x
    x = 17,279.92/60.28
  6. Step 6: Final answer
    x = 286.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.