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Finding the Third Proportional to 91,524 and 167,860

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Solution

The third proportional to 91,524 and 167,860 is: 307,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,524 : 167,860 = 167,860 : x
  2. Step 2: Convert to fraction form
    91,524/167,860 = 167,860/x
  3. Step 3: Cross multiply
    91,524x = 167,860 × 167,860
  4. Step 4: Simplify right side
    91,524x = 28,176,979,600
  5. Step 5: Solve for x
    x = 28,176,979,600/91,524
  6. Step 6: Final answer
    x = 307,864.38

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.