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Finding the Third Proportional to 67,554 and 147,096

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Solution

The third proportional to 67,554 and 147,096 is: 320,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,554 : 147,096 = 147,096 : x
  2. Step 2: Convert to fraction form
    67,554/147,096 = 147,096/x
  3. Step 3: Cross multiply
    67,554x = 147,096 × 147,096
  4. Step 4: Simplify right side
    67,554x = 21,637,233,216
  5. Step 5: Solve for x
    x = 21,637,233,216/67,554
  6. Step 6: Final answer
    x = 320,295.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.