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Finding the Third Proportional to 125,007.75 and 198,583.88

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Solution

The third proportional to 125,007.75 and 198,583.88 is: 315,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,007.75 : 198,583.88 = 198,583.88 : x
  2. Step 2: Convert to fraction form
    125,007.75/198,583.88 = 198,583.88/x
  3. Step 3: Cross multiply
    125,007.75x = 198,583.88 × 198,583.88
  4. Step 4: Simplify right side
    125,007.75x = 39,435,555,410.02
  5. Step 5: Solve for x
    x = 39,435,555,410.02/125,007.75
  6. Step 6: Final answer
    x = 315,464.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.