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Finding the Third Proportional to 52.53 and 112.81

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Solution

The third proportional to 52.53 and 112.81 is: 242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.53 : 112.81 = 112.81 : x
  2. Step 2: Convert to fraction form
    52.53/112.81 = 112.81/x
  3. Step 3: Cross multiply
    52.53x = 112.81 × 112.81
  4. Step 4: Simplify right side
    52.53x = 12,726.66
  5. Step 5: Solve for x
    x = 12,726.66/52.53
  6. Step 6: Final answer
    x = 242.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.