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Finding the Third Proportional to 34,194.38 and 73,855.13

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Solution

The third proportional to 34,194.38 and 73,855.13 is: 159,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.38 : 73,855.13 = 73,855.13 : x
  2. Step 2: Convert to fraction form
    34,194.38/73,855.13 = 73,855.13/x
  3. Step 3: Cross multiply
    34,194.38x = 73,855.13 × 73,855.13
  4. Step 4: Simplify right side
    34,194.38x = 5,454,579,488.77
  5. Step 5: Solve for x
    x = 5,454,579,488.77/34,194.38
  6. Step 6: Final answer
    x = 159,516.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.