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Finding the Third Proportional to 124,707 and 268,123

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Solution

The third proportional to 124,707 and 268,123 is: 576,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,707 : 268,123 = 268,123 : x
  2. Step 2: Convert to fraction form
    124,707/268,123 = 268,123/x
  3. Step 3: Cross multiply
    124,707x = 268,123 × 268,123
  4. Step 4: Simplify right side
    124,707x = 71,889,943,129
  5. Step 5: Solve for x
    x = 71,889,943,129/124,707
  6. Step 6: Final answer
    x = 576,470.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.