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Finding the Third Proportional to 73,252.69 and 110,107.69

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Solution

The third proportional to 73,252.69 and 110,107.69 is: 165,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,252.69 : 110,107.69 = 110,107.69 : x
  2. Step 2: Convert to fraction form
    73,252.69/110,107.69 = 110,107.69/x
  3. Step 3: Cross multiply
    73,252.69x = 110,107.69 × 110,107.69
  4. Step 4: Simplify right side
    73,252.69x = 12,123,702,846.60
  5. Step 5: Solve for x
    x = 12,123,702,846.60/73,252.69
  6. Step 6: Final answer
    x = 165,505.23

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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.