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Finding the Third Proportional to 54,114 and 119,906

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Solution

The third proportional to 54,114 and 119,906 is: 265,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,114 : 119,906 = 119,906 : x
  2. Step 2: Convert to fraction form
    54,114/119,906 = 119,906/x
  3. Step 3: Cross multiply
    54,114x = 119,906 × 119,906
  4. Step 4: Simplify right side
    54,114x = 14,377,448,836
  5. Step 5: Solve for x
    x = 14,377,448,836/54,114
  6. Step 6: Final answer
    x = 265,688.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.