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Finding the Third Proportional to 73,126 and 159,404

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Solution

The third proportional to 73,126 and 159,404 is: 347,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,126 : 159,404 = 159,404 : x
  2. Step 2: Convert to fraction form
    73,126/159,404 = 159,404/x
  3. Step 3: Cross multiply
    73,126x = 159,404 × 159,404
  4. Step 4: Simplify right side
    73,126x = 25,409,635,216
  5. Step 5: Solve for x
    x = 25,409,635,216/73,126
  6. Step 6: Final answer
    x = 347,477.44

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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.