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Finding the Third Proportional to 133,958 and 187,293

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Solution

The third proportional to 133,958 and 187,293 is: 261,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,958 : 187,293 = 187,293 : x
  2. Step 2: Convert to fraction form
    133,958/187,293 = 187,293/x
  3. Step 3: Cross multiply
    133,958x = 187,293 × 187,293
  4. Step 4: Simplify right side
    133,958x = 35,078,667,849
  5. Step 5: Solve for x
    x = 35,078,667,849/133,958
  6. Step 6: Final answer
    x = 261,863.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.