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Finding the Third Proportional to 88,600 and 132,652

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Solution

The third proportional to 88,600 and 132,652 is: 198,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,600 : 132,652 = 132,652 : x
  2. Step 2: Convert to fraction form
    88,600/132,652 = 132,652/x
  3. Step 3: Cross multiply
    88,600x = 132,652 × 132,652
  4. Step 4: Simplify right side
    88,600x = 17,596,553,104
  5. Step 5: Solve for x
    x = 17,596,553,104/88,600
  6. Step 6: Final answer
    x = 198,606.69

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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.