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Finding the Third Proportional to 36,040 and 77,192

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Solution

The third proportional to 36,040 and 77,192 is: 165,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,040 : 77,192 = 77,192 : x
  2. Step 2: Convert to fraction form
    36,040/77,192 = 77,192/x
  3. Step 3: Cross multiply
    36,040x = 77,192 × 77,192
  4. Step 4: Simplify right side
    36,040x = 5,958,604,864
  5. Step 5: Solve for x
    x = 5,958,604,864/36,040
  6. Step 6: Final answer
    x = 165,333.10

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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.