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Finding the Third Proportional to 52.00 and 113.70

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Solution

The third proportional to 52.00 and 113.70 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.00 : 113.70 = 113.70 : x
  2. Step 2: Convert to fraction form
    52.00/113.70 = 113.70/x
  3. Step 3: Cross multiply
    52.00x = 113.70 × 113.70
  4. Step 4: Simplify right side
    52.00x = 12,926.62
  5. Step 5: Solve for x
    x = 12,926.62/52.00
  6. Step 6: Final answer
    x = 248.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.