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Finding the Third Proportional to 111,039 and 158,254.50

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Solution

The third proportional to 111,039 and 158,254.50 is: 225,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,039 : 158,254.50 = 158,254.50 : x
  2. Step 2: Convert to fraction form
    111,039/158,254.50 = 158,254.50/x
  3. Step 3: Cross multiply
    111,039x = 158,254.50 × 158,254.50
  4. Step 4: Simplify right side
    111,039x = 25,044,486,770.25
  5. Step 5: Solve for x
    x = 25,044,486,770.25/111,039
  6. Step 6: Final answer
    x = 225,546.76

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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.