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Finding the Third Proportional to 52.59 and 81.14

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Solution

The third proportional to 52.59 and 81.14 is: 125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.59 : 81.14 = 81.14 : x
  2. Step 2: Convert to fraction form
    52.59/81.14 = 81.14/x
  3. Step 3: Cross multiply
    52.59x = 81.14 × 81.14
  4. Step 4: Simplify right side
    52.59x = 6,583.80
  5. Step 5: Solve for x
    x = 6,583.80/52.59
  6. Step 6: Final answer
    x = 125.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.