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Finding the Third Proportional to 88,133 and 132,397

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Solution

The third proportional to 88,133 and 132,397 is: 198,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,133 : 132,397 = 132,397 : x
  2. Step 2: Convert to fraction form
    88,133/132,397 = 132,397/x
  3. Step 3: Cross multiply
    88,133x = 132,397 × 132,397
  4. Step 4: Simplify right side
    88,133x = 17,528,965,609
  5. Step 5: Solve for x
    x = 17,528,965,609/88,133
  6. Step 6: Final answer
    x = 198,892.19

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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.