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Finding the Third Proportional to 101,324.25 and 152,040.38

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Solution

The third proportional to 101,324.25 and 152,040.38 is: 228,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,324.25 : 152,040.38 = 152,040.38 : x
  2. Step 2: Convert to fraction form
    101,324.25/152,040.38 = 152,040.38/x
  3. Step 3: Cross multiply
    101,324.25x = 152,040.38 × 152,040.38
  4. Step 4: Simplify right side
    101,324.25x = 23,116,275,630.14
  5. Step 5: Solve for x
    x = 23,116,275,630.14/101,324.25
  6. Step 6: Final answer
    x = 228,141.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.