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Finding the Third Proportional to 124,472 and 268,708

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Solution

The third proportional to 124,472 and 268,708 is: 580,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,472 : 268,708 = 268,708 : x
  2. Step 2: Convert to fraction form
    124,472/268,708 = 268,708/x
  3. Step 3: Cross multiply
    124,472x = 268,708 × 268,708
  4. Step 4: Simplify right side
    124,472x = 72,203,989,264
  5. Step 5: Solve for x
    x = 72,203,989,264/124,472
  6. Step 6: Final answer
    x = 580,082.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.