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Finding the Third Proportional to 89,224 and 134,592

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Solution

The third proportional to 89,224 and 134,592 is: 203,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,224 : 134,592 = 134,592 : x
  2. Step 2: Convert to fraction form
    89,224/134,592 = 134,592/x
  3. Step 3: Cross multiply
    89,224x = 134,592 × 134,592
  4. Step 4: Simplify right side
    89,224x = 18,115,006,464
  5. Step 5: Solve for x
    x = 18,115,006,464/89,224
  6. Step 6: Final answer
    x = 203,028.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.