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Finding the Third Proportional to 107,659.50 and 154,107.75

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Solution

The third proportional to 107,659.50 and 154,107.75 is: 220,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,659.50 : 154,107.75 = 154,107.75 : x
  2. Step 2: Convert to fraction form
    107,659.50/154,107.75 = 154,107.75/x
  3. Step 3: Cross multiply
    107,659.50x = 154,107.75 × 154,107.75
  4. Step 4: Simplify right side
    107,659.50x = 23,749,198,610.06
  5. Step 5: Solve for x
    x = 23,749,198,610.06/107,659.50
  6. Step 6: Final answer
    x = 220,595.48

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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.