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Finding the Third Proportional to 132,162 and 204,721.50

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Solution

The third proportional to 132,162 and 204,721.50 is: 317,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,162 : 204,721.50 = 204,721.50 : x
  2. Step 2: Convert to fraction form
    132,162/204,721.50 = 204,721.50/x
  3. Step 3: Cross multiply
    132,162x = 204,721.50 × 204,721.50
  4. Step 4: Simplify right side
    132,162x = 41,910,892,562.25
  5. Step 5: Solve for x
    x = 41,910,892,562.25/132,162
  6. Step 6: Final answer
    x = 317,117.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.