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Finding the Third Proportional to 80,284 and 123,720

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Solution

The third proportional to 80,284 and 123,720 is: 190,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,284 : 123,720 = 123,720 : x
  2. Step 2: Convert to fraction form
    80,284/123,720 = 123,720/x
  3. Step 3: Cross multiply
    80,284x = 123,720 × 123,720
  4. Step 4: Simplify right side
    80,284x = 15,306,638,400
  5. Step 5: Solve for x
    x = 15,306,638,400/80,284
  6. Step 6: Final answer
    x = 190,656.15

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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.