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Finding the Third Proportional to 76,660 and 166,820

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Solution

The third proportional to 76,660 and 166,820 is: 363,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660 : 166,820 = 166,820 : x
  2. Step 2: Convert to fraction form
    76,660/166,820 = 166,820/x
  3. Step 3: Cross multiply
    76,660x = 166,820 × 166,820
  4. Step 4: Simplify right side
    76,660x = 27,828,912,400
  5. Step 5: Solve for x
    x = 27,828,912,400/76,660
  6. Step 6: Final answer
    x = 363,017.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.