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Finding the Third Proportional to 52,525 and 115,255

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Solution

The third proportional to 52,525 and 115,255 is: 252,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,525 : 115,255 = 115,255 : x
  2. Step 2: Convert to fraction form
    52,525/115,255 = 115,255/x
  3. Step 3: Cross multiply
    52,525x = 115,255 × 115,255
  4. Step 4: Simplify right side
    52,525x = 13,283,715,025
  5. Step 5: Solve for x
    x = 13,283,715,025/52,525
  6. Step 6: Final answer
    x = 252,902.71

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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.