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Finding the Third Proportional to 53,264 and 80,868

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Solution

The third proportional to 53,264 and 80,868 is: 122,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,264 : 80,868 = 80,868 : x
  2. Step 2: Convert to fraction form
    53,264/80,868 = 80,868/x
  3. Step 3: Cross multiply
    53,264x = 80,868 × 80,868
  4. Step 4: Simplify right side
    53,264x = 6,539,633,424
  5. Step 5: Solve for x
    x = 6,539,633,424/53,264
  6. Step 6: Final answer
    x = 122,777.74

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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.