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Finding the Third Proportional to 84,174.61 and 181,702.41

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Solution

The third proportional to 84,174.61 and 181,702.41 is: 392,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174.61 : 181,702.41 = 181,702.41 : x
  2. Step 2: Convert to fraction form
    84,174.61/181,702.41 = 181,702.41/x
  3. Step 3: Cross multiply
    84,174.61x = 181,702.41 × 181,702.41
  4. Step 4: Simplify right side
    84,174.61x = 33,015,764,437.04
  5. Step 5: Solve for x
    x = 33,015,764,437.04/84,174.61
  6. Step 6: Final answer
    x = 392,229.49

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