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Finding the Third Proportional to 94.31 and 140.91

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Solution

The third proportional to 94.31 and 140.91 is: 210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 140.91 = 140.91 : x
  2. Step 2: Convert to fraction form
    94.31/140.91 = 140.91/x
  3. Step 3: Cross multiply
    94.31x = 140.91 × 140.91
  4. Step 4: Simplify right side
    94.31x = 19,854.57
  5. Step 5: Solve for x
    x = 19,854.57/94.31
  6. Step 6: Final answer
    x = 210.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.