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Finding the Third Proportional to 84,914 and 179,944

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Solution

The third proportional to 84,914 and 179,944 is: 381,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,914 : 179,944 = 179,944 : x
  2. Step 2: Convert to fraction form
    84,914/179,944 = 179,944/x
  3. Step 3: Cross multiply
    84,914x = 179,944 × 179,944
  4. Step 4: Simplify right side
    84,914x = 32,379,843,136
  5. Step 5: Solve for x
    x = 32,379,843,136/84,914
  6. Step 6: Final answer
    x = 381,325.14

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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.