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Finding the Third Proportional to 125,631 and 268,697.25

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Solution

The third proportional to 125,631 and 268,697.25 is: 574,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,631 : 268,697.25 = 268,697.25 : x
  2. Step 2: Convert to fraction form
    125,631/268,697.25 = 268,697.25/x
  3. Step 3: Cross multiply
    125,631x = 268,697.25 × 268,697.25
  4. Step 4: Simplify right side
    125,631x = 72,198,212,157.56
  5. Step 5: Solve for x
    x = 72,198,212,157.56/125,631
  6. Step 6: Final answer
    x = 574,684.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.