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Finding the Third Proportional to 72,706 and 98,204

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Solution

The third proportional to 72,706 and 98,204 is: 132,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706 : 98,204 = 98,204 : x
  2. Step 2: Convert to fraction form
    72,706/98,204 = 98,204/x
  3. Step 3: Cross multiply
    72,706x = 98,204 × 98,204
  4. Step 4: Simplify right side
    72,706x = 9,644,025,616
  5. Step 5: Solve for x
    x = 9,644,025,616/72,706
  6. Step 6: Final answer
    x = 132,644.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.