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Finding the Third Proportional to 134,600 and 209,012

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Solution

The third proportional to 134,600 and 209,012 is: 324,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,600 : 209,012 = 209,012 : x
  2. Step 2: Convert to fraction form
    134,600/209,012 = 209,012/x
  3. Step 3: Cross multiply
    134,600x = 209,012 × 209,012
  4. Step 4: Simplify right side
    134,600x = 43,686,016,144
  5. Step 5: Solve for x
    x = 43,686,016,144/134,600
  6. Step 6: Final answer
    x = 324,561.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.