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Finding the Third Proportional to 125,122 and 260,599

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Solution

The third proportional to 125,122 and 260,599 is: 542,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,122 : 260,599 = 260,599 : x
  2. Step 2: Convert to fraction form
    125,122/260,599 = 260,599/x
  3. Step 3: Cross multiply
    125,122x = 260,599 × 260,599
  4. Step 4: Simplify right side
    125,122x = 67,911,838,801
  5. Step 5: Solve for x
    x = 67,911,838,801/125,122
  6. Step 6: Final answer
    x = 542,764.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.