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Finding the Third Proportional to 51,939 and 113,598

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Solution

The third proportional to 51,939 and 113,598 is: 248,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,939 : 113,598 = 113,598 : x
  2. Step 2: Convert to fraction form
    51,939/113,598 = 113,598/x
  3. Step 3: Cross multiply
    51,939x = 113,598 × 113,598
  4. Step 4: Simplify right side
    51,939x = 12,904,505,604
  5. Step 5: Solve for x
    x = 12,904,505,604/51,939
  6. Step 6: Final answer
    x = 248,455.03

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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.