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Finding the Third Proportional to 59,834 and 125,860

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Solution

The third proportional to 59,834 and 125,860 is: 264,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,834 : 125,860 = 125,860 : x
  2. Step 2: Convert to fraction form
    59,834/125,860 = 125,860/x
  3. Step 3: Cross multiply
    59,834x = 125,860 × 125,860
  4. Step 4: Simplify right side
    59,834x = 15,840,739,600
  5. Step 5: Solve for x
    x = 15,840,739,600/59,834
  6. Step 6: Final answer
    x = 264,744.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.