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Finding the Third Proportional to 63,678 and 132,578

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Solution

The third proportional to 63,678 and 132,578 is: 276,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,678 : 132,578 = 132,578 : x
  2. Step 2: Convert to fraction form
    63,678/132,578 = 132,578/x
  3. Step 3: Cross multiply
    63,678x = 132,578 × 132,578
  4. Step 4: Simplify right side
    63,678x = 17,576,926,084
  5. Step 5: Solve for x
    x = 17,576,926,084/63,678
  6. Step 6: Final answer
    x = 276,028.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.