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Finding the Third Proportional to 60.43 and 123.71

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Solution

The third proportional to 60.43 and 123.71 is: 253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.43 : 123.71 = 123.71 : x
  2. Step 2: Convert to fraction form
    60.43/123.71 = 123.71/x
  3. Step 3: Cross multiply
    60.43x = 123.71 × 123.71
  4. Step 4: Simplify right side
    60.43x = 15,305.36
  5. Step 5: Solve for x
    x = 15,305.36/60.43
  6. Step 6: Final answer
    x = 253.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.