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Finding the Third Proportional to 77,904 and 166,977

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Solution

The third proportional to 77,904 and 166,977 is: 357,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,904 : 166,977 = 166,977 : x
  2. Step 2: Convert to fraction form
    77,904/166,977 = 166,977/x
  3. Step 3: Cross multiply
    77,904x = 166,977 × 166,977
  4. Step 4: Simplify right side
    77,904x = 27,881,318,529
  5. Step 5: Solve for x
    x = 27,881,318,529/77,904
  6. Step 6: Final answer
    x = 357,893.29

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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.