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Finding the Third Proportional to 90,457.50 and 132,974.25

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Solution

The third proportional to 90,457.50 and 132,974.25 is: 195,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,457.50 : 132,974.25 = 132,974.25 : x
  2. Step 2: Convert to fraction form
    90,457.50/132,974.25 = 132,974.25/x
  3. Step 3: Cross multiply
    90,457.50x = 132,974.25 × 132,974.25
  4. Step 4: Simplify right side
    90,457.50x = 17,682,151,163.06
  5. Step 5: Solve for x
    x = 17,682,151,163.06/90,457.50
  6. Step 6: Final answer
    x = 195,474.68

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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.