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Finding the Third Proportional to 125,277 and 194,020.50

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Solution

The third proportional to 125,277 and 194,020.50 is: 300,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,277 : 194,020.50 = 194,020.50 : x
  2. Step 2: Convert to fraction form
    125,277/194,020.50 = 194,020.50/x
  3. Step 3: Cross multiply
    125,277x = 194,020.50 × 194,020.50
  4. Step 4: Simplify right side
    125,277x = 37,643,954,420.25
  5. Step 5: Solve for x
    x = 37,643,954,420.25/125,277
  6. Step 6: Final answer
    x = 300,485.76

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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.