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Finding the Third Proportional to 45,648 and 68,292

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Solution

The third proportional to 45,648 and 68,292 is: 102,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,648 : 68,292 = 68,292 : x
  2. Step 2: Convert to fraction form
    45,648/68,292 = 68,292/x
  3. Step 3: Cross multiply
    45,648x = 68,292 × 68,292
  4. Step 4: Simplify right side
    45,648x = 4,663,797,264
  5. Step 5: Solve for x
    x = 4,663,797,264/45,648
  6. Step 6: Final answer
    x = 102,168.71

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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.