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Finding the Third Proportional to 36,102 and 77,190

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Solution

The third proportional to 36,102 and 77,190 is: 165,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102 : 77,190 = 77,190 : x
  2. Step 2: Convert to fraction form
    36,102/77,190 = 77,190/x
  3. Step 3: Cross multiply
    36,102x = 77,190 × 77,190
  4. Step 4: Simplify right side
    36,102x = 5,958,296,100
  5. Step 5: Solve for x
    x = 5,958,296,100/36,102
  6. Step 6: Final answer
    x = 165,040.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.