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Finding the Third Proportional to 87,679 and 135,611

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Solution

The third proportional to 87,679 and 135,611 is: 209,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,679 : 135,611 = 135,611 : x
  2. Step 2: Convert to fraction form
    87,679/135,611 = 135,611/x
  3. Step 3: Cross multiply
    87,679x = 135,611 × 135,611
  4. Step 4: Simplify right side
    87,679x = 18,390,343,321
  5. Step 5: Solve for x
    x = 18,390,343,321/87,679
  6. Step 6: Final answer
    x = 209,746.27

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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.