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Finding the Third Proportional to 83,264.50 and 126,983

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Solution

The third proportional to 83,264.50 and 126,983 is: 193,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264.50 : 126,983 = 126,983 : x
  2. Step 2: Convert to fraction form
    83,264.50/126,983 = 126,983/x
  3. Step 3: Cross multiply
    83,264.50x = 126,983 × 126,983
  4. Step 4: Simplify right side
    83,264.50x = 16,124,682,289
  5. Step 5: Solve for x
    x = 16,124,682,289/83,264.50
  6. Step 6: Final answer
    x = 193,656.15

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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.