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Finding the Third Proportional to 73,827.07 and 110,717.82

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Solution

The third proportional to 73,827.07 and 110,717.82 is: 166,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,827.07 : 110,717.82 = 110,717.82 : x
  2. Step 2: Convert to fraction form
    73,827.07/110,717.82 = 110,717.82/x
  3. Step 3: Cross multiply
    73,827.07x = 110,717.82 × 110,717.82
  4. Step 4: Simplify right side
    73,827.07x = 12,258,436,599.73
  5. Step 5: Solve for x
    x = 12,258,436,599.73/73,827.07
  6. Step 6: Final answer
    x = 166,042.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.