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Finding the Third Proportional to 80,777.25 and 134,159.25

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Solution

The third proportional to 80,777.25 and 134,159.25 is: 222,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,777.25 : 134,159.25 = 134,159.25 : x
  2. Step 2: Convert to fraction form
    80,777.25/134,159.25 = 134,159.25/x
  3. Step 3: Cross multiply
    80,777.25x = 134,159.25 × 134,159.25
  4. Step 4: Simplify right side
    80,777.25x = 17,998,704,360.56
  5. Step 5: Solve for x
    x = 17,998,704,360.56/80,777.25
  6. Step 6: Final answer
    x = 222,818.98

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.