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Finding the Third Proportional to 73,745.44 and 110,577.66

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Solution

The third proportional to 73,745.44 and 110,577.66 is: 165,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,745.44 : 110,577.66 = 110,577.66 : x
  2. Step 2: Convert to fraction form
    73,745.44/110,577.66 = 110,577.66/x
  3. Step 3: Cross multiply
    73,745.44x = 110,577.66 × 110,577.66
  4. Step 4: Simplify right side
    73,745.44x = 12,227,418,061.74
  5. Step 5: Solve for x
    x = 12,227,418,061.74/73,745.44
  6. Step 6: Final answer
    x = 165,805.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.