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Finding the Third Proportional to 101,218.50 and 144,188

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Solution

The third proportional to 101,218.50 and 144,188 is: 205,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,218.50 : 144,188 = 144,188 : x
  2. Step 2: Convert to fraction form
    101,218.50/144,188 = 144,188/x
  3. Step 3: Cross multiply
    101,218.50x = 144,188 × 144,188
  4. Step 4: Simplify right side
    101,218.50x = 20,790,179,344
  5. Step 5: Solve for x
    x = 20,790,179,344/101,218.50
  6. Step 6: Final answer
    x = 205,399.01

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.