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Finding the Third Proportional to 137,873 and 189,859

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Solution

The third proportional to 137,873 and 189,859 is: 261,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,873 : 189,859 = 189,859 : x
  2. Step 2: Convert to fraction form
    137,873/189,859 = 189,859/x
  3. Step 3: Cross multiply
    137,873x = 189,859 × 189,859
  4. Step 4: Simplify right side
    137,873x = 36,046,439,881
  5. Step 5: Solve for x
    x = 36,046,439,881/137,873
  6. Step 6: Final answer
    x = 261,446.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.