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Finding the Third Proportional to 113,967 and 248,913

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Solution

The third proportional to 113,967 and 248,913 is: 543,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,967 : 248,913 = 248,913 : x
  2. Step 2: Convert to fraction form
    113,967/248,913 = 248,913/x
  3. Step 3: Cross multiply
    113,967x = 248,913 × 248,913
  4. Step 4: Simplify right side
    113,967x = 61,957,681,569
  5. Step 5: Solve for x
    x = 61,957,681,569/113,967
  6. Step 6: Final answer
    x = 543,645.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.