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Finding the Third Proportional to 75,931.50 and 166,743

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Solution

The third proportional to 75,931.50 and 166,743 is: 366,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,931.50 : 166,743 = 166,743 : x
  2. Step 2: Convert to fraction form
    75,931.50/166,743 = 166,743/x
  3. Step 3: Cross multiply
    75,931.50x = 166,743 × 166,743
  4. Step 4: Simplify right side
    75,931.50x = 27,803,228,049
  5. Step 5: Solve for x
    x = 27,803,228,049/75,931.50
  6. Step 6: Final answer
    x = 366,161.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.