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Finding the Third Proportional to 86,948 and 138,204

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Solution

The third proportional to 86,948 and 138,204 is: 219,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,948 : 138,204 = 138,204 : x
  2. Step 2: Convert to fraction form
    86,948/138,204 = 138,204/x
  3. Step 3: Cross multiply
    86,948x = 138,204 × 138,204
  4. Step 4: Simplify right side
    86,948x = 19,100,345,616
  5. Step 5: Solve for x
    x = 19,100,345,616/86,948
  6. Step 6: Final answer
    x = 219,675.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.