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Finding the Third Proportional to 73,167 and 159,724.50

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Solution

The third proportional to 73,167 and 159,724.50 is: 348,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,167 : 159,724.50 = 159,724.50 : x
  2. Step 2: Convert to fraction form
    73,167/159,724.50 = 159,724.50/x
  3. Step 3: Cross multiply
    73,167x = 159,724.50 × 159,724.50
  4. Step 4: Simplify right side
    73,167x = 25,511,915,900.25
  5. Step 5: Solve for x
    x = 25,511,915,900.25/73,167
  6. Step 6: Final answer
    x = 348,680.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.