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Finding the Third Proportional to 55,939 and 118,357

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Solution

The third proportional to 55,939 and 118,357 is: 250,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,939 : 118,357 = 118,357 : x
  2. Step 2: Convert to fraction form
    55,939/118,357 = 118,357/x
  3. Step 3: Cross multiply
    55,939x = 118,357 × 118,357
  4. Step 4: Simplify right side
    55,939x = 14,008,379,449
  5. Step 5: Solve for x
    x = 14,008,379,449/55,939
  6. Step 6: Final answer
    x = 250,422.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.