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Finding the Third Proportional to 68,872.50 and 150,381

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Solution

The third proportional to 68,872.50 and 150,381 is: 328,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,872.50 : 150,381 = 150,381 : x
  2. Step 2: Convert to fraction form
    68,872.50/150,381 = 150,381/x
  3. Step 3: Cross multiply
    68,872.50x = 150,381 × 150,381
  4. Step 4: Simplify right side
    68,872.50x = 22,614,445,161
  5. Step 5: Solve for x
    x = 22,614,445,161/68,872.50
  6. Step 6: Final answer
    x = 328,352.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.