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Finding the Third Proportional to 75,144 and 112,481

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Solution

The third proportional to 75,144 and 112,481 is: 168,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144 : 112,481 = 112,481 : x
  2. Step 2: Convert to fraction form
    75,144/112,481 = 112,481/x
  3. Step 3: Cross multiply
    75,144x = 112,481 × 112,481
  4. Step 4: Simplify right side
    75,144x = 12,651,975,361
  5. Step 5: Solve for x
    x = 12,651,975,361/75,144
  6. Step 6: Final answer
    x = 168,369.73

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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.