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Finding the Third Proportional to 83,738 and 119,380

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Solution

The third proportional to 83,738 and 119,380 is: 170,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,738 : 119,380 = 119,380 : x
  2. Step 2: Convert to fraction form
    83,738/119,380 = 119,380/x
  3. Step 3: Cross multiply
    83,738x = 119,380 × 119,380
  4. Step 4: Simplify right side
    83,738x = 14,251,584,400
  5. Step 5: Solve for x
    x = 14,251,584,400/83,738
  6. Step 6: Final answer
    x = 170,192.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.