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Finding the Third Proportional to 52,517.25 and 115,239

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Solution

The third proportional to 52,517.25 and 115,239 is: 252,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517.25 : 115,239 = 115,239 : x
  2. Step 2: Convert to fraction form
    52,517.25/115,239 = 115,239/x
  3. Step 3: Cross multiply
    52,517.25x = 115,239 × 115,239
  4. Step 4: Simplify right side
    52,517.25x = 13,280,027,121
  5. Step 5: Solve for x
    x = 13,280,027,121/52,517.25
  6. Step 6: Final answer
    x = 252,869.81

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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.