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Finding the Third Proportional to 83,269 and 126,989

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Solution

The third proportional to 83,269 and 126,989 is: 193,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269 : 126,989 = 126,989 : x
  2. Step 2: Convert to fraction form
    83,269/126,989 = 126,989/x
  3. Step 3: Cross multiply
    83,269x = 126,989 × 126,989
  4. Step 4: Simplify right side
    83,269x = 16,126,206,121
  5. Step 5: Solve for x
    x = 16,126,206,121/83,269
  6. Step 6: Final answer
    x = 193,663.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.