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Finding the Third Proportional to 49,948 and 106,254

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Solution

The third proportional to 49,948 and 106,254 is: 226,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,948 : 106,254 = 106,254 : x
  2. Step 2: Convert to fraction form
    49,948/106,254 = 106,254/x
  3. Step 3: Cross multiply
    49,948x = 106,254 × 106,254
  4. Step 4: Simplify right side
    49,948x = 11,289,912,516
  5. Step 5: Solve for x
    x = 11,289,912,516/49,948
  6. Step 6: Final answer
    x = 226,033.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.