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Finding the Third Proportional to 54,906 and 119,881

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Solution

The third proportional to 54,906 and 119,881 is: 261,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906 : 119,881 = 119,881 : x
  2. Step 2: Convert to fraction form
    54,906/119,881 = 119,881/x
  3. Step 3: Cross multiply
    54,906x = 119,881 × 119,881
  4. Step 4: Simplify right side
    54,906x = 14,371,454,161
  5. Step 5: Solve for x
    x = 14,371,454,161/54,906
  6. Step 6: Final answer
    x = 261,746.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.