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Finding the Third Proportional to 77,729 and 167,349

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Solution

The third proportional to 77,729 and 167,349 is: 360,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,729 : 167,349 = 167,349 : x
  2. Step 2: Convert to fraction form
    77,729/167,349 = 167,349/x
  3. Step 3: Cross multiply
    77,729x = 167,349 × 167,349
  4. Step 4: Simplify right side
    77,729x = 28,005,687,801
  5. Step 5: Solve for x
    x = 28,005,687,801/77,729
  6. Step 6: Final answer
    x = 360,299.09

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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.