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Finding the Third Proportional to 69,275 and 149,146

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Solution

The third proportional to 69,275 and 149,146 is: 321,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,275 : 149,146 = 149,146 : x
  2. Step 2: Convert to fraction form
    69,275/149,146 = 149,146/x
  3. Step 3: Cross multiply
    69,275x = 149,146 × 149,146
  4. Step 4: Simplify right side
    69,275x = 22,244,529,316
  5. Step 5: Solve for x
    x = 22,244,529,316/69,275
  6. Step 6: Final answer
    x = 321,104.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.