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Finding the Third Proportional to 111,057.19 and 158,278.78

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Solution

The third proportional to 111,057.19 and 158,278.78 is: 225,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,057.19 : 158,278.78 = 158,278.78 : x
  2. Step 2: Convert to fraction form
    111,057.19/158,278.78 = 158,278.78/x
  3. Step 3: Cross multiply
    111,057.19x = 158,278.78 × 158,278.78
  4. Step 4: Simplify right side
    111,057.19x = 25,052,172,593.99
  5. Step 5: Solve for x
    x = 25,052,172,593.99/111,057.19
  6. Step 6: Final answer
    x = 225,579.03

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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.