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Finding the Third Proportional to 125,840 and 275,872

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Solution

The third proportional to 125,840 and 275,872 is: 604,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,840 : 275,872 = 275,872 : x
  2. Step 2: Convert to fraction form
    125,840/275,872 = 275,872/x
  3. Step 3: Cross multiply
    125,840x = 275,872 × 275,872
  4. Step 4: Simplify right side
    125,840x = 76,105,360,384
  5. Step 5: Solve for x
    x = 76,105,360,384/125,840
  6. Step 6: Final answer
    x = 604,778.77

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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.