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Finding the Third Proportional to 69,078.13 and 103,189.25

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Solution

The third proportional to 69,078.13 and 103,189.25 is: 154,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078.13 : 103,189.25 = 103,189.25 : x
  2. Step 2: Convert to fraction form
    69,078.13/103,189.25 = 103,189.25/x
  3. Step 3: Cross multiply
    69,078.13x = 103,189.25 × 103,189.25
  4. Step 4: Simplify right side
    69,078.13x = 10,648,021,315.56
  5. Step 5: Solve for x
    x = 10,648,021,315.56/69,078.13
  6. Step 6: Final answer
    x = 154,144.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.