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Finding the Third Proportional to 75,144 and 112,479

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Solution

The third proportional to 75,144 and 112,479 is: 168,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144 : 112,479 = 112,479 : x
  2. Step 2: Convert to fraction form
    75,144/112,479 = 112,479/x
  3. Step 3: Cross multiply
    75,144x = 112,479 × 112,479
  4. Step 4: Simplify right side
    75,144x = 12,651,525,441
  5. Step 5: Solve for x
    x = 12,651,525,441/75,144
  6. Step 6: Final answer
    x = 168,363.75

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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.