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Finding the Third Proportional to 110,624 and 171,579

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Solution

The third proportional to 110,624 and 171,579 is: 266,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,624 : 171,579 = 171,579 : x
  2. Step 2: Convert to fraction form
    110,624/171,579 = 171,579/x
  3. Step 3: Cross multiply
    110,624x = 171,579 × 171,579
  4. Step 4: Simplify right side
    110,624x = 29,439,353,241
  5. Step 5: Solve for x
    x = 29,439,353,241/110,624
  6. Step 6: Final answer
    x = 266,120.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.