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Finding the Third Proportional to 88,519 and 140,380

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Solution

The third proportional to 88,519 and 140,380 is: 222,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,519 : 140,380 = 140,380 : x
  2. Step 2: Convert to fraction form
    88,519/140,380 = 140,380/x
  3. Step 3: Cross multiply
    88,519x = 140,380 × 140,380
  4. Step 4: Simplify right side
    88,519x = 19,706,544,400
  5. Step 5: Solve for x
    x = 19,706,544,400/88,519
  6. Step 6: Final answer
    x = 222,625.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.