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Finding the Third Proportional to 80,340 and 123,588

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Solution

The third proportional to 80,340 and 123,588 is: 190,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,340 : 123,588 = 123,588 : x
  2. Step 2: Convert to fraction form
    80,340/123,588 = 123,588/x
  3. Step 3: Cross multiply
    80,340x = 123,588 × 123,588
  4. Step 4: Simplify right side
    80,340x = 15,273,993,744
  5. Step 5: Solve for x
    x = 15,273,993,744/80,340
  6. Step 6: Final answer
    x = 190,116.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.