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Finding the Third Proportional to 83,113 and 124,637

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Solution

The third proportional to 83,113 and 124,637 is: 186,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,113 : 124,637 = 124,637 : x
  2. Step 2: Convert to fraction form
    83,113/124,637 = 124,637/x
  3. Step 3: Cross multiply
    83,113x = 124,637 × 124,637
  4. Step 4: Simplify right side
    83,113x = 15,534,381,769
  5. Step 5: Solve for x
    x = 15,534,381,769/83,113
  6. Step 6: Final answer
    x = 186,906.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.