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Finding the Third Proportional to 88,519 and 135,359

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Solution

The third proportional to 88,519 and 135,359 is: 206,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,519 : 135,359 = 135,359 : x
  2. Step 2: Convert to fraction form
    88,519/135,359 = 135,359/x
  3. Step 3: Cross multiply
    88,519x = 135,359 × 135,359
  4. Step 4: Simplify right side
    88,519x = 18,322,058,881
  5. Step 5: Solve for x
    x = 18,322,058,881/88,519
  6. Step 6: Final answer
    x = 206,984.48

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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.