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Finding the Third Proportional to 77,644 and 167,174

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Solution

The third proportional to 77,644 and 167,174 is: 359,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644 : 167,174 = 167,174 : x
  2. Step 2: Convert to fraction form
    77,644/167,174 = 167,174/x
  3. Step 3: Cross multiply
    77,644x = 167,174 × 167,174
  4. Step 4: Simplify right side
    77,644x = 27,947,146,276
  5. Step 5: Solve for x
    x = 27,947,146,276/77,644
  6. Step 6: Final answer
    x = 359,939.55

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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.