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Finding the Third Proportional to 87,577 and 135,881

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Solution

The third proportional to 87,577 and 135,881 is: 210,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,577 : 135,881 = 135,881 : x
  2. Step 2: Convert to fraction form
    87,577/135,881 = 135,881/x
  3. Step 3: Cross multiply
    87,577x = 135,881 × 135,881
  4. Step 4: Simplify right side
    87,577x = 18,463,646,161
  5. Step 5: Solve for x
    x = 18,463,646,161/87,577
  6. Step 6: Final answer
    x = 210,827.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.