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Finding the Third Proportional to 81,247.50 and 181,166.06

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Solution

The third proportional to 81,247.50 and 181,166.06 is: 403,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,247.50 : 181,166.06 = 181,166.06 : x
  2. Step 2: Convert to fraction form
    81,247.50/181,166.06 = 181,166.06/x
  3. Step 3: Cross multiply
    81,247.50x = 181,166.06 × 181,166.06
  4. Step 4: Simplify right side
    81,247.50x = 32,821,142,201.75
  5. Step 5: Solve for x
    x = 32,821,142,201.75/81,247.50
  6. Step 6: Final answer
    x = 403,964.95

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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.