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Finding the Third Proportional to 77,734 and 167,359

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Solution

The third proportional to 77,734 and 167,359 is: 360,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,734 : 167,359 = 167,359 : x
  2. Step 2: Convert to fraction form
    77,734/167,359 = 167,359/x
  3. Step 3: Cross multiply
    77,734x = 167,359 × 167,359
  4. Step 4: Simplify right side
    77,734x = 28,009,034,881
  5. Step 5: Solve for x
    x = 28,009,034,881/77,734
  6. Step 6: Final answer
    x = 360,318.97

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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.