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Finding the Third Proportional to 53,938 and 118,244

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Solution

The third proportional to 53,938 and 118,244 is: 259,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,938 : 118,244 = 118,244 : x
  2. Step 2: Convert to fraction form
    53,938/118,244 = 118,244/x
  3. Step 3: Cross multiply
    53,938x = 118,244 × 118,244
  4. Step 4: Simplify right side
    53,938x = 13,981,643,536
  5. Step 5: Solve for x
    x = 13,981,643,536/53,938
  6. Step 6: Final answer
    x = 259,216.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.