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Finding the Third Proportional to 125,203.50 and 193,880.25

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Solution

The third proportional to 125,203.50 and 193,880.25 is: 300,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,203.50 : 193,880.25 = 193,880.25 : x
  2. Step 2: Convert to fraction form
    125,203.50/193,880.25 = 193,880.25/x
  3. Step 3: Cross multiply
    125,203.50x = 193,880.25 × 193,880.25
  4. Step 4: Simplify right side
    125,203.50x = 37,589,551,340.06
  5. Step 5: Solve for x
    x = 37,589,551,340.06/125,203.50
  6. Step 6: Final answer
    x = 300,227.64

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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.