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Finding the Third Proportional to 44,542 and 103,579

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Solution

The third proportional to 44,542 and 103,579 is: 240,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,542 : 103,579 = 103,579 : x
  2. Step 2: Convert to fraction form
    44,542/103,579 = 103,579/x
  3. Step 3: Cross multiply
    44,542x = 103,579 × 103,579
  4. Step 4: Simplify right side
    44,542x = 10,728,609,241
  5. Step 5: Solve for x
    x = 10,728,609,241/44,542
  6. Step 6: Final answer
    x = 240,865.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.