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Finding the Third Proportional to 137,785 and 195,019

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Solution

The third proportional to 137,785 and 195,019 is: 276,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,785 : 195,019 = 195,019 : x
  2. Step 2: Convert to fraction form
    137,785/195,019 = 195,019/x
  3. Step 3: Cross multiply
    137,785x = 195,019 × 195,019
  4. Step 4: Simplify right side
    137,785x = 38,032,410,361
  5. Step 5: Solve for x
    x = 38,032,410,361/137,785
  6. Step 6: Final answer
    x = 276,027.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.