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Finding the Third Proportional to 88,289 and 135,086

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Solution

The third proportional to 88,289 and 135,086 is: 206,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,289 : 135,086 = 135,086 : x
  2. Step 2: Convert to fraction form
    88,289/135,086 = 135,086/x
  3. Step 3: Cross multiply
    88,289x = 135,086 × 135,086
  4. Step 4: Simplify right side
    88,289x = 18,248,227,396
  5. Step 5: Solve for x
    x = 18,248,227,396/88,289
  6. Step 6: Final answer
    x = 206,687.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.