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Finding the Third Proportional to 73,220 and 159,868

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Solution

The third proportional to 73,220 and 159,868 is: 349,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,220 : 159,868 = 159,868 : x
  2. Step 2: Convert to fraction form
    73,220/159,868 = 159,868/x
  3. Step 3: Cross multiply
    73,220x = 159,868 × 159,868
  4. Step 4: Simplify right side
    73,220x = 25,557,777,424
  5. Step 5: Solve for x
    x = 25,557,777,424/73,220
  6. Step 6: Final answer
    x = 349,054.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.