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Finding the Third Proportional to 49,376 and 106,648

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Solution

The third proportional to 49,376 and 106,648 is: 230,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376 : 106,648 = 106,648 : x
  2. Step 2: Convert to fraction form
    49,376/106,648 = 106,648/x
  3. Step 3: Cross multiply
    49,376x = 106,648 × 106,648
  4. Step 4: Simplify right side
    49,376x = 11,373,795,904
  5. Step 5: Solve for x
    x = 11,373,795,904/49,376
  6. Step 6: Final answer
    x = 230,350.69

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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.