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Finding the Third Proportional to 86,949.56 and 132,246.94

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Solution

The third proportional to 86,949.56 and 132,246.94 is: 201,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,949.56 : 132,246.94 = 132,246.94 : x
  2. Step 2: Convert to fraction form
    86,949.56/132,246.94 = 132,246.94/x
  3. Step 3: Cross multiply
    86,949.56x = 132,246.94 × 132,246.94
  4. Step 4: Simplify right side
    86,949.56x = 17,489,252,478.13
  5. Step 5: Solve for x
    x = 17,489,252,478.13/86,949.56
  6. Step 6: Final answer
    x = 201,142.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.