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Finding the Third Proportional to 83,850 and 130,879.50

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Solution

The third proportional to 83,850 and 130,879.50 is: 204,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,850 : 130,879.50 = 130,879.50 : x
  2. Step 2: Convert to fraction form
    83,850/130,879.50 = 130,879.50/x
  3. Step 3: Cross multiply
    83,850x = 130,879.50 × 130,879.50
  4. Step 4: Simplify right side
    83,850x = 17,129,443,520.25
  5. Step 5: Solve for x
    x = 17,129,443,520.25/83,850
  6. Step 6: Final answer
    x = 204,286.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.