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Finding the Third Proportional to 141,097.50 and 188,102.25

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Solution

The third proportional to 141,097.50 and 188,102.25 is: 250,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,097.50 : 188,102.25 = 188,102.25 : x
  2. Step 2: Convert to fraction form
    141,097.50/188,102.25 = 188,102.25/x
  3. Step 3: Cross multiply
    141,097.50x = 188,102.25 × 188,102.25
  4. Step 4: Simplify right side
    141,097.50x = 35,382,456,455.06
  5. Step 5: Solve for x
    x = 35,382,456,455.06/141,097.50
  6. Step 6: Final answer
    x = 250,766.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.