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Finding the Third Proportional to 125,560.97 and 189,474.19

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Solution

The third proportional to 125,560.97 and 189,474.19 is: 285,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,560.97 : 189,474.19 = 189,474.19 : x
  2. Step 2: Convert to fraction form
    125,560.97/189,474.19 = 189,474.19/x
  3. Step 3: Cross multiply
    125,560.97x = 189,474.19 × 189,474.19
  4. Step 4: Simplify right side
    125,560.97x = 35,900,467,728.79
  5. Step 5: Solve for x
    x = 35,900,467,728.79/125,560.97
  6. Step 6: Final answer
    x = 285,920.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.