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Finding the Third Proportional to 52,828 and 80,216

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Solution

The third proportional to 52,828 and 80,216 is: 121,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828 : 80,216 = 80,216 : x
  2. Step 2: Convert to fraction form
    52,828/80,216 = 80,216/x
  3. Step 3: Cross multiply
    52,828x = 80,216 × 80,216
  4. Step 4: Simplify right side
    52,828x = 6,434,606,656
  5. Step 5: Solve for x
    x = 6,434,606,656/52,828
  6. Step 6: Final answer
    x = 121,802.96

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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.