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Finding the Third Proportional to 90,286.88 and 120,789

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Solution

The third proportional to 90,286.88 and 120,789 is: 161,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,286.88 : 120,789 = 120,789 : x
  2. Step 2: Convert to fraction form
    90,286.88/120,789 = 120,789/x
  3. Step 3: Cross multiply
    90,286.88x = 120,789 × 120,789
  4. Step 4: Simplify right side
    90,286.88x = 14,589,982,521
  5. Step 5: Solve for x
    x = 14,589,982,521/90,286.88
  6. Step 6: Final answer
    x = 161,595.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.