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Finding the Third Proportional to 115,498 and 172,775

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Solution

The third proportional to 115,498 and 172,775 is: 258,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,498 : 172,775 = 172,775 : x
  2. Step 2: Convert to fraction form
    115,498/172,775 = 172,775/x
  3. Step 3: Cross multiply
    115,498x = 172,775 × 172,775
  4. Step 4: Simplify right side
    115,498x = 29,851,200,625
  5. Step 5: Solve for x
    x = 29,851,200,625/115,498
  6. Step 6: Final answer
    x = 258,456.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.