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Finding the Third Proportional to 69,078 and 151,112

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Solution

The third proportional to 69,078 and 151,112 is: 330,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078 : 151,112 = 151,112 : x
  2. Step 2: Convert to fraction form
    69,078/151,112 = 151,112/x
  3. Step 3: Cross multiply
    69,078x = 151,112 × 151,112
  4. Step 4: Simplify right side
    69,078x = 22,834,836,544
  5. Step 5: Solve for x
    x = 22,834,836,544/69,078
  6. Step 6: Final answer
    x = 330,565.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.