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Finding the Third Proportional to 34,046 and 73,868

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Solution

The third proportional to 34,046 and 73,868 is: 160,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046 : 73,868 = 73,868 : x
  2. Step 2: Convert to fraction form
    34,046/73,868 = 73,868/x
  3. Step 3: Cross multiply
    34,046x = 73,868 × 73,868
  4. Step 4: Simplify right side
    34,046x = 5,456,481,424
  5. Step 5: Solve for x
    x = 5,456,481,424/34,046
  6. Step 6: Final answer
    x = 160,267.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.