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Finding the Third Proportional to 54,838 and 119,071

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Solution

The third proportional to 54,838 and 119,071 is: 258,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838 : 119,071 = 119,071 : x
  2. Step 2: Convert to fraction form
    54,838/119,071 = 119,071/x
  3. Step 3: Cross multiply
    54,838x = 119,071 × 119,071
  4. Step 4: Simplify right side
    54,838x = 14,177,903,041
  5. Step 5: Solve for x
    x = 14,177,903,041/54,838
  6. Step 6: Final answer
    x = 258,541.58

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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.