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Finding the Third Proportional to 83,031.75 and 176,937.75

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Solution

The third proportional to 83,031.75 and 176,937.75 is: 377,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.75 : 176,937.75 = 176,937.75 : x
  2. Step 2: Convert to fraction form
    83,031.75/176,937.75 = 176,937.75/x
  3. Step 3: Cross multiply
    83,031.75x = 176,937.75 × 176,937.75
  4. Step 4: Simplify right side
    83,031.75x = 31,306,967,375.06
  5. Step 5: Solve for x
    x = 31,306,967,375.06/83,031.75
  6. Step 6: Final answer
    x = 377,048.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.