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Finding the Third Proportional to 49,906 and 106,724

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Solution

The third proportional to 49,906 and 106,724 is: 228,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906 : 106,724 = 106,724 : x
  2. Step 2: Convert to fraction form
    49,906/106,724 = 106,724/x
  3. Step 3: Cross multiply
    49,906x = 106,724 × 106,724
  4. Step 4: Simplify right side
    49,906x = 11,390,012,176
  5. Step 5: Solve for x
    x = 11,390,012,176/49,906
  6. Step 6: Final answer
    x = 228,229.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.