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Finding the Third Proportional to 95,877 and 150,410

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Solution

The third proportional to 95,877 and 150,410 is: 235,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,877 : 150,410 = 150,410 : x
  2. Step 2: Convert to fraction form
    95,877/150,410 = 150,410/x
  3. Step 3: Cross multiply
    95,877x = 150,410 × 150,410
  4. Step 4: Simplify right side
    95,877x = 22,623,168,100
  5. Step 5: Solve for x
    x = 22,623,168,100/95,877
  6. Step 6: Final answer
    x = 235,960.33

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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.