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Finding the Third Proportional to 74,569 and 111,579

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Solution

The third proportional to 74,569 and 111,579 is: 166,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,569 : 111,579 = 111,579 : x
  2. Step 2: Convert to fraction form
    74,569/111,579 = 111,579/x
  3. Step 3: Cross multiply
    74,569x = 111,579 × 111,579
  4. Step 4: Simplify right side
    74,569x = 12,449,873,241
  5. Step 5: Solve for x
    x = 12,449,873,241/74,569
  6. Step 6: Final answer
    x = 166,957.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.