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Finding the Third Proportional to 84,175.75 and 181,704.50

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Solution

The third proportional to 84,175.75 and 181,704.50 is: 392,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,175.75 : 181,704.50 = 181,704.50 : x
  2. Step 2: Convert to fraction form
    84,175.75/181,704.50 = 181,704.50/x
  3. Step 3: Cross multiply
    84,175.75x = 181,704.50 × 181,704.50
  4. Step 4: Simplify right side
    84,175.75x = 33,016,525,320.25
  5. Step 5: Solve for x
    x = 33,016,525,320.25/84,175.75
  6. Step 6: Final answer
    x = 392,233.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.