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Finding the Third Proportional to 54,972 and 119,016

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Solution

The third proportional to 54,972 and 119,016 is: 257,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,972 : 119,016 = 119,016 : x
  2. Step 2: Convert to fraction form
    54,972/119,016 = 119,016/x
  3. Step 3: Cross multiply
    54,972x = 119,016 × 119,016
  4. Step 4: Simplify right side
    54,972x = 14,164,808,256
  5. Step 5: Solve for x
    x = 14,164,808,256/54,972
  6. Step 6: Final answer
    x = 257,673.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.