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Finding the Third Proportional to 112,637 and 243,863

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Solution

The third proportional to 112,637 and 243,863 is: 527,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,637 : 243,863 = 243,863 : x
  2. Step 2: Convert to fraction form
    112,637/243,863 = 243,863/x
  3. Step 3: Cross multiply
    112,637x = 243,863 × 243,863
  4. Step 4: Simplify right side
    112,637x = 59,469,162,769
  5. Step 5: Solve for x
    x = 59,469,162,769/112,637
  6. Step 6: Final answer
    x = 527,971.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.