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Finding the Third Proportional to 52,826 and 80,213

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Solution

The third proportional to 52,826 and 80,213 is: 121,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,826 : 80,213 = 80,213 : x
  2. Step 2: Convert to fraction form
    52,826/80,213 = 80,213/x
  3. Step 3: Cross multiply
    52,826x = 80,213 × 80,213
  4. Step 4: Simplify right side
    52,826x = 6,434,125,369
  5. Step 5: Solve for x
    x = 6,434,125,369/52,826
  6. Step 6: Final answer
    x = 121,798.46

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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.