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Finding the Third Proportional to 50,652 and 80,514

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Solution

The third proportional to 50,652 and 80,514 is: 127,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652 : 80,514 = 80,514 : x
  2. Step 2: Convert to fraction form
    50,652/80,514 = 80,514/x
  3. Step 3: Cross multiply
    50,652x = 80,514 × 80,514
  4. Step 4: Simplify right side
    50,652x = 6,482,504,196
  5. Step 5: Solve for x
    x = 6,482,504,196/50,652
  6. Step 6: Final answer
    x = 127,981.21

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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.