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Finding the Third Proportional to 132,318.56 and 201,576.09

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Solution

The third proportional to 132,318.56 and 201,576.09 is: 307,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,318.56 : 201,576.09 = 201,576.09 : x
  2. Step 2: Convert to fraction form
    132,318.56/201,576.09 = 201,576.09/x
  3. Step 3: Cross multiply
    132,318.56x = 201,576.09 × 201,576.09
  4. Step 4: Simplify right side
    132,318.56x = 40,632,921,571.51
  5. Step 5: Solve for x
    x = 40,632,921,571.51/132,318.56
  6. Step 6: Final answer
    x = 307,084.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.