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Finding the Third Proportional to 61.31 and 131.06

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Solution

The third proportional to 61.31 and 131.06 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.31 : 131.06 = 131.06 : x
  2. Step 2: Convert to fraction form
    61.31/131.06 = 131.06/x
  3. Step 3: Cross multiply
    61.31x = 131.06 × 131.06
  4. Step 4: Simplify right side
    61.31x = 17,177.38
  5. Step 5: Solve for x
    x = 17,177.38/61.31
  6. Step 6: Final answer
    x = 280.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.