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Finding the Third Proportional to 125,325 and 193,969.50

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Solution

The third proportional to 125,325 and 193,969.50 is: 300,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,325 : 193,969.50 = 193,969.50 : x
  2. Step 2: Convert to fraction form
    125,325/193,969.50 = 193,969.50/x
  3. Step 3: Cross multiply
    125,325x = 193,969.50 × 193,969.50
  4. Step 4: Simplify right side
    125,325x = 37,624,166,930.25
  5. Step 5: Solve for x
    x = 37,624,166,930.25/125,325
  6. Step 6: Final answer
    x = 300,212.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.