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Finding the Third Proportional to 52,531 and 115,271

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Solution

The third proportional to 52,531 and 115,271 is: 252,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,531 : 115,271 = 115,271 : x
  2. Step 2: Convert to fraction form
    52,531/115,271 = 115,271/x
  3. Step 3: Cross multiply
    52,531x = 115,271 × 115,271
  4. Step 4: Simplify right side
    52,531x = 13,287,403,441
  5. Step 5: Solve for x
    x = 13,287,403,441/52,531
  6. Step 6: Final answer
    x = 252,944.04

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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.