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Finding the Third Proportional to 67,817.25 and 147,096

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Solution

The third proportional to 67,817.25 and 147,096 is: 319,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.25 : 147,096 = 147,096 : x
  2. Step 2: Convert to fraction form
    67,817.25/147,096 = 147,096/x
  3. Step 3: Cross multiply
    67,817.25x = 147,096 × 147,096
  4. Step 4: Simplify right side
    67,817.25x = 21,637,233,216
  5. Step 5: Solve for x
    x = 21,637,233,216/67,817.25
  6. Step 6: Final answer
    x = 319,052.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.