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Finding the Third Proportional to 113,169 and 248,937

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Solution

The third proportional to 113,169 and 248,937 is: 547,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,169 : 248,937 = 248,937 : x
  2. Step 2: Convert to fraction form
    113,169/248,937 = 248,937/x
  3. Step 3: Cross multiply
    113,169x = 248,937 × 248,937
  4. Step 4: Simplify right side
    113,169x = 61,969,629,969
  5. Step 5: Solve for x
    x = 61,969,629,969/113,169
  6. Step 6: Final answer
    x = 547,584.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.