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Finding the Third Proportional to 127,811.25 and 197,700.75

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Solution

The third proportional to 127,811.25 and 197,700.75 is: 305,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,811.25 : 197,700.75 = 197,700.75 : x
  2. Step 2: Convert to fraction form
    127,811.25/197,700.75 = 197,700.75/x
  3. Step 3: Cross multiply
    127,811.25x = 197,700.75 × 197,700.75
  4. Step 4: Simplify right side
    127,811.25x = 39,085,586,550.56
  5. Step 5: Solve for x
    x = 39,085,586,550.56/127,811.25
  6. Step 6: Final answer
    x = 305,807.09

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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.