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Finding the Third Proportional to 63,713 and 135,022

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Solution

The third proportional to 63,713 and 135,022 is: 286,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,713 : 135,022 = 135,022 : x
  2. Step 2: Convert to fraction form
    63,713/135,022 = 135,022/x
  3. Step 3: Cross multiply
    63,713x = 135,022 × 135,022
  4. Step 4: Simplify right side
    63,713x = 18,230,940,484
  5. Step 5: Solve for x
    x = 18,230,940,484/63,713
  6. Step 6: Final answer
    x = 286,141.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.