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Finding the Third Proportional to 88,524 and 135,369

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Solution

The third proportional to 88,524 and 135,369 is: 207,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,524 : 135,369 = 135,369 : x
  2. Step 2: Convert to fraction form
    88,524/135,369 = 135,369/x
  3. Step 3: Cross multiply
    88,524x = 135,369 × 135,369
  4. Step 4: Simplify right side
    88,524x = 18,324,766,161
  5. Step 5: Solve for x
    x = 18,324,766,161/88,524
  6. Step 6: Final answer
    x = 207,003.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.