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Finding the Third Proportional to 113,734 and 248,172

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Solution

The third proportional to 113,734 and 248,172 is: 541,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,734 : 248,172 = 248,172 : x
  2. Step 2: Convert to fraction form
    113,734/248,172 = 248,172/x
  3. Step 3: Cross multiply
    113,734x = 248,172 × 248,172
  4. Step 4: Simplify right side
    113,734x = 61,589,341,584
  5. Step 5: Solve for x
    x = 61,589,341,584/113,734
  6. Step 6: Final answer
    x = 541,520.93

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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.