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Finding the Third Proportional to 42.13 and 99.31

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Solution

The third proportional to 42.13 and 99.31 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 99.31 = 99.31 : x
  2. Step 2: Convert to fraction form
    42.13/99.31 = 99.31/x
  3. Step 3: Cross multiply
    42.13x = 99.31 × 99.31
  4. Step 4: Simplify right side
    42.13x = 9,862.97
  5. Step 5: Solve for x
    x = 9,862.97/42.13
  6. Step 6: Final answer
    x = 234.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.