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Finding the Third Proportional to 45,348 and 100,092

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Solution

The third proportional to 45,348 and 100,092 is: 220,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,348 : 100,092 = 100,092 : x
  2. Step 2: Convert to fraction form
    45,348/100,092 = 100,092/x
  3. Step 3: Cross multiply
    45,348x = 100,092 × 100,092
  4. Step 4: Simplify right side
    45,348x = 10,018,408,464
  5. Step 5: Solve for x
    x = 10,018,408,464/45,348
  6. Step 6: Final answer
    x = 220,922.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.