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Finding the Third Proportional to 75,542 and 111,225

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Solution

The third proportional to 75,542 and 111,225 is: 163,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,542 : 111,225 = 111,225 : x
  2. Step 2: Convert to fraction form
    75,542/111,225 = 111,225/x
  3. Step 3: Cross multiply
    75,542x = 111,225 × 111,225
  4. Step 4: Simplify right side
    75,542x = 12,371,000,625
  5. Step 5: Solve for x
    x = 12,371,000,625/75,542
  6. Step 6: Final answer
    x = 163,763.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.