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Finding the Third Proportional to 52.29 and 112.66

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Solution

The third proportional to 52.29 and 112.66 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.29 : 112.66 = 112.66 : x
  2. Step 2: Convert to fraction form
    52.29/112.66 = 112.66/x
  3. Step 3: Cross multiply
    52.29x = 112.66 × 112.66
  4. Step 4: Simplify right side
    52.29x = 12,693.19
  5. Step 5: Solve for x
    x = 12,693.19/52.29
  6. Step 6: Final answer
    x = 242.75

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