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Finding the Third Proportional to 69,210.75 and 136,371.75

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Solution

The third proportional to 69,210.75 and 136,371.75 is: 268,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210.75 : 136,371.75 = 136,371.75 : x
  2. Step 2: Convert to fraction form
    69,210.75/136,371.75 = 136,371.75/x
  3. Step 3: Cross multiply
    69,210.75x = 136,371.75 × 136,371.75
  4. Step 4: Simplify right side
    69,210.75x = 18,597,254,198.06
  5. Step 5: Solve for x
    x = 18,597,254,198.06/69,210.75
  6. Step 6: Final answer
    x = 268,704.71

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.