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Finding the Third Proportional to 69,584 and 149,016

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Solution

The third proportional to 69,584 and 149,016 is: 319,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,584 : 149,016 = 149,016 : x
  2. Step 2: Convert to fraction form
    69,584/149,016 = 149,016/x
  3. Step 3: Cross multiply
    69,584x = 149,016 × 149,016
  4. Step 4: Simplify right side
    69,584x = 22,205,768,256
  5. Step 5: Solve for x
    x = 22,205,768,256/69,584
  6. Step 6: Final answer
    x = 319,121.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.