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Finding the Third Proportional to 83,948 and 126,731

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Solution

The third proportional to 83,948 and 126,731 is: 191,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,948 : 126,731 = 126,731 : x
  2. Step 2: Convert to fraction form
    83,948/126,731 = 126,731/x
  3. Step 3: Cross multiply
    83,948x = 126,731 × 126,731
  4. Step 4: Simplify right side
    83,948x = 16,060,746,361
  5. Step 5: Solve for x
    x = 16,060,746,361/83,948
  6. Step 6: Final answer
    x = 191,317.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.