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Finding the Third Proportional to 91,769 and 170,186

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Solution

The third proportional to 91,769 and 170,186 is: 315,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769 : 170,186 = 170,186 : x
  2. Step 2: Convert to fraction form
    91,769/170,186 = 170,186/x
  3. Step 3: Cross multiply
    91,769x = 170,186 × 170,186
  4. Step 4: Simplify right side
    91,769x = 28,963,274,596
  5. Step 5: Solve for x
    x = 28,963,274,596/91,769
  6. Step 6: Final answer
    x = 315,610.66

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.