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Finding the Third Proportional to 52,677 and 80,777.25

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Solution

The third proportional to 52,677 and 80,777.25 is: 123,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,677 : 80,777.25 = 80,777.25 : x
  2. Step 2: Convert to fraction form
    52,677/80,777.25 = 80,777.25/x
  3. Step 3: Cross multiply
    52,677x = 80,777.25 × 80,777.25
  4. Step 4: Simplify right side
    52,677x = 6,524,964,117.56
  5. Step 5: Solve for x
    x = 6,524,964,117.56/52,677
  6. Step 6: Final answer
    x = 123,867.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.