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Finding the Third Proportional to 66,251.25 and 143,066.25

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Solution

The third proportional to 66,251.25 and 143,066.25 is: 308,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,251.25 : 143,066.25 = 143,066.25 : x
  2. Step 2: Convert to fraction form
    66,251.25/143,066.25 = 143,066.25/x
  3. Step 3: Cross multiply
    66,251.25x = 143,066.25 × 143,066.25
  4. Step 4: Simplify right side
    66,251.25x = 20,467,951,889.06
  5. Step 5: Solve for x
    x = 20,467,951,889.06/66,251.25
  6. Step 6: Final answer
    x = 308,944.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.