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Finding the Third Proportional to 81,247.03 and 181,165.13

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Solution

The third proportional to 81,247.03 and 181,165.13 is: 403,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,247.03 : 181,165.13 = 181,165.13 : x
  2. Step 2: Convert to fraction form
    81,247.03/181,165.13 = 181,165.13/x
  3. Step 3: Cross multiply
    81,247.03x = 181,165.13 × 181,165.13
  4. Step 4: Simplify right side
    81,247.03x = 32,820,802,516.27
  5. Step 5: Solve for x
    x = 32,820,802,516.27/81,247.03
  6. Step 6: Final answer
    x = 403,963.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.