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Finding the Third Proportional to 88,115 and 132,199

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Solution

The third proportional to 88,115 and 132,199 is: 198,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,115 : 132,199 = 132,199 : x
  2. Step 2: Convert to fraction form
    88,115/132,199 = 132,199/x
  3. Step 3: Cross multiply
    88,115x = 132,199 × 132,199
  4. Step 4: Simplify right side
    88,115x = 17,476,575,601
  5. Step 5: Solve for x
    x = 17,476,575,601/88,115
  6. Step 6: Final answer
    x = 198,338.26

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Why These Related Problems?

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