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Finding the Third Proportional to 47,744 and 112,304

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Solution

The third proportional to 47,744 and 112,304 is: 264,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,744 : 112,304 = 112,304 : x
  2. Step 2: Convert to fraction form
    47,744/112,304 = 112,304/x
  3. Step 3: Cross multiply
    47,744x = 112,304 × 112,304
  4. Step 4: Simplify right side
    47,744x = 12,612,188,416
  5. Step 5: Solve for x
    x = 12,612,188,416/47,744
  6. Step 6: Final answer
    x = 264,162.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.