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Finding the Third Proportional to 111,073 and 158,299

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Solution

The third proportional to 111,073 and 158,299 is: 225,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,073 : 158,299 = 158,299 : x
  2. Step 2: Convert to fraction form
    111,073/158,299 = 158,299/x
  3. Step 3: Cross multiply
    111,073x = 158,299 × 158,299
  4. Step 4: Simplify right side
    111,073x = 25,058,573,401
  5. Step 5: Solve for x
    x = 25,058,573,401/111,073
  6. Step 6: Final answer
    x = 225,604.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.