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Finding the Third Proportional to 36,134 and 87,029

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Solution

The third proportional to 36,134 and 87,029 is: 209,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,134 : 87,029 = 87,029 : x
  2. Step 2: Convert to fraction form
    36,134/87,029 = 87,029/x
  3. Step 3: Cross multiply
    36,134x = 87,029 × 87,029
  4. Step 4: Simplify right side
    36,134x = 7,574,046,841
  5. Step 5: Solve for x
    x = 7,574,046,841/36,134
  6. Step 6: Final answer
    x = 209,609.98

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.