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Finding the Third Proportional to 89,318 and 142,177

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Solution

The third proportional to 89,318 and 142,177 is: 226,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,318 : 142,177 = 142,177 : x
  2. Step 2: Convert to fraction form
    89,318/142,177 = 142,177/x
  3. Step 3: Cross multiply
    89,318x = 142,177 × 142,177
  4. Step 4: Simplify right side
    89,318x = 20,214,299,329
  5. Step 5: Solve for x
    x = 20,214,299,329/89,318
  6. Step 6: Final answer
    x = 226,318.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.