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Finding the Third Proportional to 111,035.81 and 158,249.95

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Solution

The third proportional to 111,035.81 and 158,249.95 is: 225,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,035.81 : 158,249.95 = 158,249.95 : x
  2. Step 2: Convert to fraction form
    111,035.81/158,249.95 = 158,249.95/x
  3. Step 3: Cross multiply
    111,035.81x = 158,249.95 × 158,249.95
  4. Step 4: Simplify right side
    111,035.81x = 25,043,047,664.06
  5. Step 5: Solve for x
    x = 25,043,047,664.06/111,035.81
  6. Step 6: Final answer
    x = 225,540.27

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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.