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Finding the Third Proportional to 83,068.50 and 182,751

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Solution

The third proportional to 83,068.50 and 182,751 is: 402,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,068.50 : 182,751 = 182,751 : x
  2. Step 2: Convert to fraction form
    83,068.50/182,751 = 182,751/x
  3. Step 3: Cross multiply
    83,068.50x = 182,751 × 182,751
  4. Step 4: Simplify right side
    83,068.50x = 33,397,928,001
  5. Step 5: Solve for x
    x = 33,397,928,001/83,068.50
  6. Step 6: Final answer
    x = 402,052.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.