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Finding the Third Proportional to 89,953.50 and 132,012.75

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Solution

The third proportional to 89,953.50 and 132,012.75 is: 193,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,953.50 : 132,012.75 = 132,012.75 : x
  2. Step 2: Convert to fraction form
    89,953.50/132,012.75 = 132,012.75/x
  3. Step 3: Cross multiply
    89,953.50x = 132,012.75 × 132,012.75
  4. Step 4: Simplify right side
    89,953.50x = 17,427,366,162.56
  5. Step 5: Solve for x
    x = 17,427,366,162.56/89,953.50
  6. Step 6: Final answer
    x = 193,737.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.