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Finding the Third Proportional to 88,648 and 132,672

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Solution

The third proportional to 88,648 and 132,672 is: 198,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,648 : 132,672 = 132,672 : x
  2. Step 2: Convert to fraction form
    88,648/132,672 = 132,672/x
  3. Step 3: Cross multiply
    88,648x = 132,672 × 132,672
  4. Step 4: Simplify right side
    88,648x = 17,601,859,584
  5. Step 5: Solve for x
    x = 17,601,859,584/88,648
  6. Step 6: Final answer
    x = 198,559.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.