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Finding the Third Proportional to 72,147 and 154,662

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Solution

The third proportional to 72,147 and 154,662 is: 331,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,147 : 154,662 = 154,662 : x
  2. Step 2: Convert to fraction form
    72,147/154,662 = 154,662/x
  3. Step 3: Cross multiply
    72,147x = 154,662 × 154,662
  4. Step 4: Simplify right side
    72,147x = 23,920,334,244
  5. Step 5: Solve for x
    x = 23,920,334,244/72,147
  6. Step 6: Final answer
    x = 331,549.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.