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Finding the Third Proportional to 88,289 and 134,474

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Solution

The third proportional to 88,289 and 134,474 is: 204,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,289 : 134,474 = 134,474 : x
  2. Step 2: Convert to fraction form
    88,289/134,474 = 134,474/x
  3. Step 3: Cross multiply
    88,289x = 134,474 × 134,474
  4. Step 4: Simplify right side
    88,289x = 18,083,256,676
  5. Step 5: Solve for x
    x = 18,083,256,676/88,289
  6. Step 6: Final answer
    x = 204,818.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.