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Finding the Third Proportional to 49,317 and 106,517

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Solution

The third proportional to 49,317 and 106,517 is: 230,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,317 : 106,517 = 106,517 : x
  2. Step 2: Convert to fraction form
    49,317/106,517 = 106,517/x
  3. Step 3: Cross multiply
    49,317x = 106,517 × 106,517
  4. Step 4: Simplify right side
    49,317x = 11,345,871,289
  5. Step 5: Solve for x
    x = 11,345,871,289/49,317
  6. Step 6: Final answer
    x = 230,060.05

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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.