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Finding the Third Proportional to 81,889 and 178,754

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Solution

The third proportional to 81,889 and 178,754 is: 390,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,889 : 178,754 = 178,754 : x
  2. Step 2: Convert to fraction form
    81,889/178,754 = 178,754/x
  3. Step 3: Cross multiply
    81,889x = 178,754 × 178,754
  4. Step 4: Simplify right side
    81,889x = 31,952,992,516
  5. Step 5: Solve for x
    x = 31,952,992,516/81,889
  6. Step 6: Final answer
    x = 390,198.84

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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.