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Finding the Third Proportional to 83,112.75 and 176,599.13

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Solution

The third proportional to 83,112.75 and 176,599.13 is: 375,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112.75 : 176,599.13 = 176,599.13 : x
  2. Step 2: Convert to fraction form
    83,112.75/176,599.13 = 176,599.13/x
  3. Step 3: Cross multiply
    83,112.75x = 176,599.13 × 176,599.13
  4. Step 4: Simplify right side
    83,112.75x = 31,187,250,950.77
  5. Step 5: Solve for x
    x = 31,187,250,950.77/83,112.75
  6. Step 6: Final answer
    x = 375,240.27

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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.