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Finding the Third Proportional to 124.88 and 187.31

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Solution

The third proportional to 124.88 and 187.31 is: 280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.88 : 187.31 = 187.31 : x
  2. Step 2: Convert to fraction form
    124.88/187.31 = 187.31/x
  3. Step 3: Cross multiply
    124.88x = 187.31 × 187.31
  4. Step 4: Simplify right side
    124.88x = 35,085.97
  5. Step 5: Solve for x
    x = 35,085.97/124.88
  6. Step 6: Final answer
    x = 280.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.