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Finding the Third Proportional to 83,058.75 and 177,919.03

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Solution

The third proportional to 83,058.75 and 177,919.03 is: 381,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058.75 : 177,919.03 = 177,919.03 : x
  2. Step 2: Convert to fraction form
    83,058.75/177,919.03 = 177,919.03/x
  3. Step 3: Cross multiply
    83,058.75x = 177,919.03 × 177,919.03
  4. Step 4: Simplify right side
    83,058.75x = 31,655,181,680.94
  5. Step 5: Solve for x
    x = 31,655,181,680.94/83,058.75
  6. Step 6: Final answer
    x = 381,117.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.