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Finding the Third Proportional to 52,828 and 80,334

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Solution

The third proportional to 52,828 and 80,334 is: 122,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828 : 80,334 = 80,334 : x
  2. Step 2: Convert to fraction form
    52,828/80,334 = 80,334/x
  3. Step 3: Cross multiply
    52,828x = 80,334 × 80,334
  4. Step 4: Simplify right side
    52,828x = 6,453,551,556
  5. Step 5: Solve for x
    x = 6,453,551,556/52,828
  6. Step 6: Final answer
    x = 122,161.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.