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Finding the Third Proportional to 84,915 and 179,943.75

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Solution

The third proportional to 84,915 and 179,943.75 is: 381,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,915 : 179,943.75 = 179,943.75 : x
  2. Step 2: Convert to fraction form
    84,915/179,943.75 = 179,943.75/x
  3. Step 3: Cross multiply
    84,915x = 179,943.75 × 179,943.75
  4. Step 4: Simplify right side
    84,915x = 32,379,753,164.06
  5. Step 5: Solve for x
    x = 32,379,753,164.06/84,915
  6. Step 6: Final answer
    x = 381,319.59

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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.