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Finding the Third Proportional to 91,116 and 132,204

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Solution

The third proportional to 91,116 and 132,204 is: 191,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,116 : 132,204 = 132,204 : x
  2. Step 2: Convert to fraction form
    91,116/132,204 = 132,204/x
  3. Step 3: Cross multiply
    91,116x = 132,204 × 132,204
  4. Step 4: Simplify right side
    91,116x = 17,477,897,616
  5. Step 5: Solve for x
    x = 17,477,897,616/91,116
  6. Step 6: Final answer
    x = 191,820.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.