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Finding the Third Proportional to 77,671 and 166,670

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Solution

The third proportional to 77,671 and 166,670 is: 357,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,671 : 166,670 = 166,670 : x
  2. Step 2: Convert to fraction form
    77,671/166,670 = 166,670/x
  3. Step 3: Cross multiply
    77,671x = 166,670 × 166,670
  4. Step 4: Simplify right side
    77,671x = 27,778,888,900
  5. Step 5: Solve for x
    x = 27,778,888,900/77,671
  6. Step 6: Final answer
    x = 357,648.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.