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Finding the Third Proportional to 88,322 and 132,147

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Solution

The third proportional to 88,322 and 132,147 is: 197,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,322 : 132,147 = 132,147 : x
  2. Step 2: Convert to fraction form
    88,322/132,147 = 132,147/x
  3. Step 3: Cross multiply
    88,322x = 132,147 × 132,147
  4. Step 4: Simplify right side
    88,322x = 17,462,829,609
  5. Step 5: Solve for x
    x = 17,462,829,609/88,322
  6. Step 6: Final answer
    x = 197,717.78

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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.