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Finding the Third Proportional to 88,633.50 and 132,633

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Solution

The third proportional to 88,633.50 and 132,633 is: 198,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,633.50 : 132,633 = 132,633 : x
  2. Step 2: Convert to fraction form
    88,633.50/132,633 = 132,633/x
  3. Step 3: Cross multiply
    88,633.50x = 132,633 × 132,633
  4. Step 4: Simplify right side
    88,633.50x = 17,591,512,689
  5. Step 5: Solve for x
    x = 17,591,512,689/88,633.50
  6. Step 6: Final answer
    x = 198,474.76

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Why These Related Problems?

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