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Finding the Third Proportional to 52.63 and 115.09

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Solution

The third proportional to 52.63 and 115.09 is: 251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.63 : 115.09 = 115.09 : x
  2. Step 2: Convert to fraction form
    52.63/115.09 = 115.09/x
  3. Step 3: Cross multiply
    52.63x = 115.09 × 115.09
  4. Step 4: Simplify right side
    52.63x = 13,246.57
  5. Step 5: Solve for x
    x = 13,246.57/52.63
  6. Step 6: Final answer
    x = 251.72

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Why These Related Problems?

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