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Finding the Third Proportional to 91,289 and 136,167

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Solution

The third proportional to 91,289 and 136,167 is: 203,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,289 : 136,167 = 136,167 : x
  2. Step 2: Convert to fraction form
    91,289/136,167 = 136,167/x
  3. Step 3: Cross multiply
    91,289x = 136,167 × 136,167
  4. Step 4: Simplify right side
    91,289x = 18,541,451,889
  5. Step 5: Solve for x
    x = 18,541,451,889/91,289
  6. Step 6: Final answer
    x = 203,107.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.