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Finding the Third Proportional to 54,838 and 113,560

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Solution

The third proportional to 54,838 and 113,560 is: 235,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838 : 113,560 = 113,560 : x
  2. Step 2: Convert to fraction form
    54,838/113,560 = 113,560/x
  3. Step 3: Cross multiply
    54,838x = 113,560 × 113,560
  4. Step 4: Simplify right side
    54,838x = 12,895,873,600
  5. Step 5: Solve for x
    x = 12,895,873,600/54,838
  6. Step 6: Final answer
    x = 235,163.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.