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Finding the Third Proportional to 111,187.69 and 162,043.03

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Solution

The third proportional to 111,187.69 and 162,043.03 is: 236,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,187.69 : 162,043.03 = 162,043.03 : x
  2. Step 2: Convert to fraction form
    111,187.69/162,043.03 = 162,043.03/x
  3. Step 3: Cross multiply
    111,187.69x = 162,043.03 × 162,043.03
  4. Step 4: Simplify right side
    111,187.69x = 26,257,943,976.69
  5. Step 5: Solve for x
    x = 26,257,943,976.69/111,187.69
  6. Step 6: Final answer
    x = 236,158.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.