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Finding the Third Proportional to 63,517 and 137,078

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Solution

The third proportional to 63,517 and 137,078 is: 295,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,517 : 137,078 = 137,078 : x
  2. Step 2: Convert to fraction form
    63,517/137,078 = 137,078/x
  3. Step 3: Cross multiply
    63,517x = 137,078 × 137,078
  4. Step 4: Simplify right side
    63,517x = 18,790,378,084
  5. Step 5: Solve for x
    x = 18,790,378,084/63,517
  6. Step 6: Final answer
    x = 295,832.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.