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Finding the Third Proportional to 45,195 and 60,381

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Solution

The third proportional to 45,195 and 60,381 is: 80,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,195 : 60,381 = 60,381 : x
  2. Step 2: Convert to fraction form
    45,195/60,381 = 60,381/x
  3. Step 3: Cross multiply
    45,195x = 60,381 × 60,381
  4. Step 4: Simplify right side
    45,195x = 3,645,865,161
  5. Step 5: Solve for x
    x = 3,645,865,161/45,195
  6. Step 6: Final answer
    x = 80,669.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.