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Finding the Third Proportional to 113,834 and 167,058

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Solution

The third proportional to 113,834 and 167,058 is: 245,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,834 : 167,058 = 167,058 : x
  2. Step 2: Convert to fraction form
    113,834/167,058 = 167,058/x
  3. Step 3: Cross multiply
    113,834x = 167,058 × 167,058
  4. Step 4: Simplify right side
    113,834x = 27,908,375,364
  5. Step 5: Solve for x
    x = 27,908,375,364/113,834
  6. Step 6: Final answer
    x = 245,167.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.