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Finding the Third Proportional to 140.48 and 187.17

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Solution

The third proportional to 140.48 and 187.17 is: 249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.48 : 187.17 = 187.17 : x
  2. Step 2: Convert to fraction form
    140.48/187.17 = 187.17/x
  3. Step 3: Cross multiply
    140.48x = 187.17 × 187.17
  4. Step 4: Simplify right side
    140.48x = 35,033.31
  5. Step 5: Solve for x
    x = 35,033.31/140.48
  6. Step 6: Final answer
    x = 249.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.