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Finding the Third Proportional to 84,913 and 179,941

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Solution

The third proportional to 84,913 and 179,941 is: 381,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,913 : 179,941 = 179,941 : x
  2. Step 2: Convert to fraction form
    84,913/179,941 = 179,941/x
  3. Step 3: Cross multiply
    84,913x = 179,941 × 179,941
  4. Step 4: Simplify right side
    84,913x = 32,378,763,481
  5. Step 5: Solve for x
    x = 32,378,763,481/84,913
  6. Step 6: Final answer
    x = 381,316.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.