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Finding the Third Proportional to 45,708 and 101,919

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Solution

The third proportional to 45,708 and 101,919 is: 227,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,708 : 101,919 = 101,919 : x
  2. Step 2: Convert to fraction form
    45,708/101,919 = 101,919/x
  3. Step 3: Cross multiply
    45,708x = 101,919 × 101,919
  4. Step 4: Simplify right side
    45,708x = 10,387,482,561
  5. Step 5: Solve for x
    x = 10,387,482,561/45,708
  6. Step 6: Final answer
    x = 227,257.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.