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Finding the Third Proportional to 36,181.69 and 77,554.13

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Solution

The third proportional to 36,181.69 and 77,554.13 is: 166,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,181.69 : 77,554.13 = 77,554.13 : x
  2. Step 2: Convert to fraction form
    36,181.69/77,554.13 = 77,554.13/x
  3. Step 3: Cross multiply
    36,181.69x = 77,554.13 × 77,554.13
  4. Step 4: Simplify right side
    36,181.69x = 6,014,642,304.52
  5. Step 5: Solve for x
    x = 6,014,642,304.52/36,181.69
  6. Step 6: Final answer
    x = 166,234.43

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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.