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Finding the Third Proportional to 81,463.50 and 173,679.75

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Solution

The third proportional to 81,463.50 and 173,679.75 is: 370,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,463.50 : 173,679.75 = 173,679.75 : x
  2. Step 2: Convert to fraction form
    81,463.50/173,679.75 = 173,679.75/x
  3. Step 3: Cross multiply
    81,463.50x = 173,679.75 × 173,679.75
  4. Step 4: Simplify right side
    81,463.50x = 30,164,655,560.06
  5. Step 5: Solve for x
    x = 30,164,655,560.06/81,463.50
  6. Step 6: Final answer
    x = 370,284.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.