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Finding the Third Proportional to 88,021 and 132,451

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Solution

The third proportional to 88,021 and 132,451 is: 199,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,021 : 132,451 = 132,451 : x
  2. Step 2: Convert to fraction form
    88,021/132,451 = 132,451/x
  3. Step 3: Cross multiply
    88,021x = 132,451 × 132,451
  4. Step 4: Simplify right side
    88,021x = 17,543,267,401
  5. Step 5: Solve for x
    x = 17,543,267,401/88,021
  6. Step 6: Final answer
    x = 199,307.75

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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.