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Finding the Third Proportional to 52.69 and 115.70

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Solution

The third proportional to 52.69 and 115.70 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.69 : 115.70 = 115.70 : x
  2. Step 2: Convert to fraction form
    52.69/115.70 = 115.70/x
  3. Step 3: Cross multiply
    52.69x = 115.70 × 115.70
  4. Step 4: Simplify right side
    52.69x = 13,387.21
  5. Step 5: Solve for x
    x = 13,387.21/52.69
  6. Step 6: Final answer
    x = 254.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.