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Finding the Third Proportional to 111,082 and 158,736.13

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Solution

The third proportional to 111,082 and 158,736.13 is: 226,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,082 : 158,736.13 = 158,736.13 : x
  2. Step 2: Convert to fraction form
    111,082/158,736.13 = 158,736.13/x
  3. Step 3: Cross multiply
    111,082x = 158,736.13 × 158,736.13
  4. Step 4: Simplify right side
    111,082x = 25,197,157,380.02
  5. Step 5: Solve for x
    x = 25,197,157,380.02/111,082
  6. Step 6: Final answer
    x = 226,833.85

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Why These Related Problems?

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