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Finding the Third Proportional to 69,078.38 and 103,189.78

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Solution

The third proportional to 69,078.38 and 103,189.78 is: 154,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078.38 : 103,189.78 = 103,189.78 : x
  2. Step 2: Convert to fraction form
    69,078.38/103,189.78 = 103,189.78/x
  3. Step 3: Cross multiply
    69,078.38x = 103,189.78 × 103,189.78
  4. Step 4: Simplify right side
    69,078.38x = 10,648,130,954.42
  5. Step 5: Solve for x
    x = 10,648,130,954.42/69,078.38
  6. Step 6: Final answer
    x = 154,145.65

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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.