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Finding the Third Proportional to 88,324 and 132,150

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Solution

The third proportional to 88,324 and 132,150 is: 197,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,324 : 132,150 = 132,150 : x
  2. Step 2: Convert to fraction form
    88,324/132,150 = 132,150/x
  3. Step 3: Cross multiply
    88,324x = 132,150 × 132,150
  4. Step 4: Simplify right side
    88,324x = 17,463,622,500
  5. Step 5: Solve for x
    x = 17,463,622,500/88,324
  6. Step 6: Final answer
    x = 197,722.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.