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Finding the Third Proportional to 102,872 and 224,452

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Solution

The third proportional to 102,872 and 224,452 is: 489,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,872 : 224,452 = 224,452 : x
  2. Step 2: Convert to fraction form
    102,872/224,452 = 224,452/x
  3. Step 3: Cross multiply
    102,872x = 224,452 × 224,452
  4. Step 4: Simplify right side
    102,872x = 50,378,700,304
  5. Step 5: Solve for x
    x = 50,378,700,304/102,872
  6. Step 6: Final answer
    x = 489,722.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.