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Finding the Third Proportional to 71,224 and 151,982

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Solution

The third proportional to 71,224 and 151,982 is: 324,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,224 : 151,982 = 151,982 : x
  2. Step 2: Convert to fraction form
    71,224/151,982 = 151,982/x
  3. Step 3: Cross multiply
    71,224x = 151,982 × 151,982
  4. Step 4: Simplify right side
    71,224x = 23,098,528,324
  5. Step 5: Solve for x
    x = 23,098,528,324/71,224
  6. Step 6: Final answer
    x = 324,308.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.