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Finding the Third Proportional to 77,772 and 166,593

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Solution

The third proportional to 77,772 and 166,593 is: 356,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772 : 166,593 = 166,593 : x
  2. Step 2: Convert to fraction form
    77,772/166,593 = 166,593/x
  3. Step 3: Cross multiply
    77,772x = 166,593 × 166,593
  4. Step 4: Simplify right side
    77,772x = 27,753,227,649
  5. Step 5: Solve for x
    x = 27,753,227,649/77,772
  6. Step 6: Final answer
    x = 356,853.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.