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Finding the Third Proportional to 61.17 and 131.91

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Solution

The third proportional to 61.17 and 131.91 is: 284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 131.91 = 131.91 : x
  2. Step 2: Convert to fraction form
    61.17/131.91 = 131.91/x
  3. Step 3: Cross multiply
    61.17x = 131.91 × 131.91
  4. Step 4: Simplify right side
    61.17x = 17,399.26
  5. Step 5: Solve for x
    x = 17,399.26/61.17
  6. Step 6: Final answer
    x = 284.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.