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Finding the Third Proportional to 95,908 and 201,761

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Solution

The third proportional to 95,908 and 201,761 is: 424,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,908 : 201,761 = 201,761 : x
  2. Step 2: Convert to fraction form
    95,908/201,761 = 201,761/x
  3. Step 3: Cross multiply
    95,908x = 201,761 × 201,761
  4. Step 4: Simplify right side
    95,908x = 40,707,501,121
  5. Step 5: Solve for x
    x = 40,707,501,121/95,908
  6. Step 6: Final answer
    x = 424,443.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.