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Finding the Third Proportional to 69,110 and 150,726

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Solution

The third proportional to 69,110 and 150,726 is: 328,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,110 : 150,726 = 150,726 : x
  2. Step 2: Convert to fraction form
    69,110/150,726 = 150,726/x
  3. Step 3: Cross multiply
    69,110x = 150,726 × 150,726
  4. Step 4: Simplify right side
    69,110x = 22,718,327,076
  5. Step 5: Solve for x
    x = 22,718,327,076/69,110
  6. Step 6: Final answer
    x = 328,727.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.