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Finding the Third Proportional to 52,514 and 80,718

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Solution

The third proportional to 52,514 and 80,718 is: 124,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514 : 80,718 = 80,718 : x
  2. Step 2: Convert to fraction form
    52,514/80,718 = 80,718/x
  3. Step 3: Cross multiply
    52,514x = 80,718 × 80,718
  4. Step 4: Simplify right side
    52,514x = 6,515,395,524
  5. Step 5: Solve for x
    x = 6,515,395,524/52,514
  6. Step 6: Final answer
    x = 124,069.69

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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.