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Finding the Third Proportional to 89,972 and 135,254

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Solution

The third proportional to 89,972 and 135,254 is: 203,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,972 : 135,254 = 135,254 : x
  2. Step 2: Convert to fraction form
    89,972/135,254 = 135,254/x
  3. Step 3: Cross multiply
    89,972x = 135,254 × 135,254
  4. Step 4: Simplify right side
    89,972x = 18,293,644,516
  5. Step 5: Solve for x
    x = 18,293,644,516/89,972
  6. Step 6: Final answer
    x = 203,325.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.