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Finding the Third Proportional to 90,352.69 and 132,288.19

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Solution

The third proportional to 90,352.69 and 132,288.19 is: 193,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,352.69 : 132,288.19 = 132,288.19 : x
  2. Step 2: Convert to fraction form
    90,352.69/132,288.19 = 132,288.19/x
  3. Step 3: Cross multiply
    90,352.69x = 132,288.19 × 132,288.19
  4. Step 4: Simplify right side
    90,352.69x = 17,500,164,552.04
  5. Step 5: Solve for x
    x = 17,500,164,552.04/90,352.69
  6. Step 6: Final answer
    x = 193,687.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.