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Finding the Third Proportional to 87,466 and 134,475

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Solution

The third proportional to 87,466 and 134,475 is: 206,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,466 : 134,475 = 134,475 : x
  2. Step 2: Convert to fraction form
    87,466/134,475 = 134,475/x
  3. Step 3: Cross multiply
    87,466x = 134,475 × 134,475
  4. Step 4: Simplify right side
    87,466x = 18,083,525,625
  5. Step 5: Solve for x
    x = 18,083,525,625/87,466
  6. Step 6: Final answer
    x = 206,749.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.