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Finding the Third Proportional to 37,224 and 81,141

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Solution

The third proportional to 37,224 and 81,141 is: 176,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224 : 81,141 = 81,141 : x
  2. Step 2: Convert to fraction form
    37,224/81,141 = 81,141/x
  3. Step 3: Cross multiply
    37,224x = 81,141 × 81,141
  4. Step 4: Simplify right side
    37,224x = 6,583,861,881
  5. Step 5: Solve for x
    x = 6,583,861,881/37,224
  6. Step 6: Final answer
    x = 176,871.42

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Why These Related Problems?

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