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Finding the Third Proportional to 52,034 and 80,719

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Solution

The third proportional to 52,034 and 80,719 is: 125,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 80,719 = 80,719 : x
  2. Step 2: Convert to fraction form
    52,034/80,719 = 80,719/x
  3. Step 3: Cross multiply
    52,034x = 80,719 × 80,719
  4. Step 4: Simplify right side
    52,034x = 6,515,556,961
  5. Step 5: Solve for x
    x = 6,515,556,961/52,034
  6. Step 6: Final answer
    x = 125,217.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.