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Finding the Third Proportional to 61.59 and 113.48

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Solution

The third proportional to 61.59 and 113.48 is: 209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.59 : 113.48 = 113.48 : x
  2. Step 2: Convert to fraction form
    61.59/113.48 = 113.48/x
  3. Step 3: Cross multiply
    61.59x = 113.48 × 113.48
  4. Step 4: Simplify right side
    61.59x = 12,878.70
  5. Step 5: Solve for x
    x = 12,878.70/61.59
  6. Step 6: Final answer
    x = 209.09

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.