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Finding the Third Proportional to 50,291 and 74,569

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Solution

The third proportional to 50,291 and 74,569 is: 110,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,291 : 74,569 = 74,569 : x
  2. Step 2: Convert to fraction form
    50,291/74,569 = 74,569/x
  3. Step 3: Cross multiply
    50,291x = 74,569 × 74,569
  4. Step 4: Simplify right side
    50,291x = 5,560,535,761
  5. Step 5: Solve for x
    x = 5,560,535,761/50,291
  6. Step 6: Final answer
    x = 110,567.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.