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Finding the Third Proportional to 125,824.50 and 196,350.75

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Solution

The third proportional to 125,824.50 and 196,350.75 is: 306,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824.50 : 196,350.75 = 196,350.75 : x
  2. Step 2: Convert to fraction form
    125,824.50/196,350.75 = 196,350.75/x
  3. Step 3: Cross multiply
    125,824.50x = 196,350.75 × 196,350.75
  4. Step 4: Simplify right side
    125,824.50x = 38,553,617,025.56
  5. Step 5: Solve for x
    x = 38,553,617,025.56/125,824.50
  6. Step 6: Final answer
    x = 306,407.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.