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Finding the Third Proportional to 75,855.66 and 109,267.73

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Solution

The third proportional to 75,855.66 and 109,267.73 is: 157,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.66 : 109,267.73 = 109,267.73 : x
  2. Step 2: Convert to fraction form
    75,855.66/109,267.73 = 109,267.73/x
  3. Step 3: Cross multiply
    75,855.66x = 109,267.73 × 109,267.73
  4. Step 4: Simplify right side
    75,855.66x = 11,939,437,775.45
  5. Step 5: Solve for x
    x = 11,939,437,775.45/75,855.66
  6. Step 6: Final answer
    x = 157,396.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.