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Finding the Third Proportional to 84,781.50 and 179,013

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Solution

The third proportional to 84,781.50 and 179,013 is: 377,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,781.50 : 179,013 = 179,013 : x
  2. Step 2: Convert to fraction form
    84,781.50/179,013 = 179,013/x
  3. Step 3: Cross multiply
    84,781.50x = 179,013 × 179,013
  4. Step 4: Simplify right side
    84,781.50x = 32,045,654,169
  5. Step 5: Solve for x
    x = 32,045,654,169/84,781.50
  6. Step 6: Final answer
    x = 377,979.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.