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Finding the Third Proportional to 91,737 and 129,186

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Solution

The third proportional to 91,737 and 129,186 is: 181,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,737 : 129,186 = 129,186 : x
  2. Step 2: Convert to fraction form
    91,737/129,186 = 129,186/x
  3. Step 3: Cross multiply
    91,737x = 129,186 × 129,186
  4. Step 4: Simplify right side
    91,737x = 16,689,022,596
  5. Step 5: Solve for x
    x = 16,689,022,596/91,737
  6. Step 6: Final answer
    x = 181,922.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.