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Finding the Third Proportional to 113,137 and 167,749

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Solution

The third proportional to 113,137 and 167,749 is: 248,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,137 : 167,749 = 167,749 : x
  2. Step 2: Convert to fraction form
    113,137/167,749 = 167,749/x
  3. Step 3: Cross multiply
    113,137x = 167,749 × 167,749
  4. Step 4: Simplify right side
    113,137x = 28,139,727,001
  5. Step 5: Solve for x
    x = 28,139,727,001/113,137
  6. Step 6: Final answer
    x = 248,722.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.