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Finding the Third Proportional to 81,883.50 and 178,182.75

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Solution

The third proportional to 81,883.50 and 178,182.75 is: 387,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,883.50 : 178,182.75 = 178,182.75 : x
  2. Step 2: Convert to fraction form
    81,883.50/178,182.75 = 178,182.75/x
  3. Step 3: Cross multiply
    81,883.50x = 178,182.75 × 178,182.75
  4. Step 4: Simplify right side
    81,883.50x = 31,749,092,397.56
  5. Step 5: Solve for x
    x = 31,749,092,397.56/81,883.50
  6. Step 6: Final answer
    x = 387,734.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.