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Finding the Third Proportional to 63,414 and 133,899

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Solution

The third proportional to 63,414 and 133,899 is: 282,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,414 : 133,899 = 133,899 : x
  2. Step 2: Convert to fraction form
    63,414/133,899 = 133,899/x
  3. Step 3: Cross multiply
    63,414x = 133,899 × 133,899
  4. Step 4: Simplify right side
    63,414x = 17,928,942,201
  5. Step 5: Solve for x
    x = 17,928,942,201/63,414
  6. Step 6: Final answer
    x = 282,728.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.