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Finding the Third Proportional to 134,002 and 202,731

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Solution

The third proportional to 134,002 and 202,731 is: 306,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,002 : 202,731 = 202,731 : x
  2. Step 2: Convert to fraction form
    134,002/202,731 = 202,731/x
  3. Step 3: Cross multiply
    134,002x = 202,731 × 202,731
  4. Step 4: Simplify right side
    134,002x = 41,099,858,361
  5. Step 5: Solve for x
    x = 41,099,858,361/134,002
  6. Step 6: Final answer
    x = 306,710.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.