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Finding the Third Proportional to 71,882 and 103,633

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Solution

The third proportional to 71,882 and 103,633 is: 149,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,882 : 103,633 = 103,633 : x
  2. Step 2: Convert to fraction form
    71,882/103,633 = 103,633/x
  3. Step 3: Cross multiply
    71,882x = 103,633 × 103,633
  4. Step 4: Simplify right side
    71,882x = 10,739,798,689
  5. Step 5: Solve for x
    x = 10,739,798,689/71,882
  6. Step 6: Final answer
    x = 149,408.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.