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Finding the Third Proportional to 47,572 and 102,452

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Solution

The third proportional to 47,572 and 102,452 is: 220,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572 : 102,452 = 102,452 : x
  2. Step 2: Convert to fraction form
    47,572/102,452 = 102,452/x
  3. Step 3: Cross multiply
    47,572x = 102,452 × 102,452
  4. Step 4: Simplify right side
    47,572x = 10,496,412,304
  5. Step 5: Solve for x
    x = 10,496,412,304/47,572
  6. Step 6: Final answer
    x = 220,642.65

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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.