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Finding the Third Proportional to 136,320 and 199,896

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Solution

The third proportional to 136,320 and 199,896 is: 293,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,320 : 199,896 = 199,896 : x
  2. Step 2: Convert to fraction form
    136,320/199,896 = 199,896/x
  3. Step 3: Cross multiply
    136,320x = 199,896 × 199,896
  4. Step 4: Simplify right side
    136,320x = 39,958,410,816
  5. Step 5: Solve for x
    x = 39,958,410,816/136,320
  6. Step 6: Final answer
    x = 293,122.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.