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Finding the Third Proportional to 95,877 and 150,093

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Solution

The third proportional to 95,877 and 150,093 is: 234,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,877 : 150,093 = 150,093 : x
  2. Step 2: Convert to fraction form
    95,877/150,093 = 150,093/x
  3. Step 3: Cross multiply
    95,877x = 150,093 × 150,093
  4. Step 4: Simplify right side
    95,877x = 22,527,908,649
  5. Step 5: Solve for x
    x = 22,527,908,649/95,877
  6. Step 6: Final answer
    x = 234,966.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.