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Finding the Third Proportional to 73,446.75 and 107,811

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Solution

The third proportional to 73,446.75 and 107,811 is: 158,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,446.75 : 107,811 = 107,811 : x
  2. Step 2: Convert to fraction form
    73,446.75/107,811 = 107,811/x
  3. Step 3: Cross multiply
    73,446.75x = 107,811 × 107,811
  4. Step 4: Simplify right side
    73,446.75x = 11,623,211,721
  5. Step 5: Solve for x
    x = 11,623,211,721/73,446.75
  6. Step 6: Final answer
    x = 158,253.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.