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Finding the Third Proportional to 125,874 and 257,580

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Solution

The third proportional to 125,874 and 257,580 is: 527,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874 : 257,580 = 257,580 : x
  2. Step 2: Convert to fraction form
    125,874/257,580 = 257,580/x
  3. Step 3: Cross multiply
    125,874x = 257,580 × 257,580
  4. Step 4: Simplify right side
    125,874x = 66,347,456,400
  5. Step 5: Solve for x
    x = 66,347,456,400/125,874
  6. Step 6: Final answer
    x = 527,094.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.