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Finding the Third Proportional to 66,688.31 and 143,172.56

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Solution

The third proportional to 66,688.31 and 143,172.56 is: 307,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,688.31 : 143,172.56 = 143,172.56 : x
  2. Step 2: Convert to fraction form
    66,688.31/143,172.56 = 143,172.56/x
  3. Step 3: Cross multiply
    66,688.31x = 143,172.56 × 143,172.56
  4. Step 4: Simplify right side
    66,688.31x = 20,498,382,652.82
  5. Step 5: Solve for x
    x = 20,498,382,652.82/66,688.31
  6. Step 6: Final answer
    x = 307,375.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.