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Finding the Third Proportional to 87,507 and 131,233

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Solution

The third proportional to 87,507 and 131,233 is: 196,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,507 : 131,233 = 131,233 : x
  2. Step 2: Convert to fraction form
    87,507/131,233 = 131,233/x
  3. Step 3: Cross multiply
    87,507x = 131,233 × 131,233
  4. Step 4: Simplify right side
    87,507x = 17,222,100,289
  5. Step 5: Solve for x
    x = 17,222,100,289/87,507
  6. Step 6: Final answer
    x = 196,808.26

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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.