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Finding the Third Proportional to 90,772 and 132,186

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Solution

The third proportional to 90,772 and 132,186 is: 192,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,772 : 132,186 = 132,186 : x
  2. Step 2: Convert to fraction form
    90,772/132,186 = 132,186/x
  3. Step 3: Cross multiply
    90,772x = 132,186 × 132,186
  4. Step 4: Simplify right side
    90,772x = 17,473,138,596
  5. Step 5: Solve for x
    x = 17,473,138,596/90,772
  6. Step 6: Final answer
    x = 192,494.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.