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Finding the Third Proportional to 69,758.44 and 104,365.13

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Solution

The third proportional to 69,758.44 and 104,365.13 is: 156,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,758.44 : 104,365.13 = 104,365.13 : x
  2. Step 2: Convert to fraction form
    69,758.44/104,365.13 = 104,365.13/x
  3. Step 3: Cross multiply
    69,758.44x = 104,365.13 × 104,365.13
  4. Step 4: Simplify right side
    69,758.44x = 10,892,079,316.27
  5. Step 5: Solve for x
    x = 10,892,079,316.27/69,758.44
  6. Step 6: Final answer
    x = 156,139.96

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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.