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Finding the Third Proportional to 89,481 and 134,217

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Solution

The third proportional to 89,481 and 134,217 is: 201,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,481 : 134,217 = 134,217 : x
  2. Step 2: Convert to fraction form
    89,481/134,217 = 134,217/x
  3. Step 3: Cross multiply
    89,481x = 134,217 × 134,217
  4. Step 4: Simplify right side
    89,481x = 18,014,203,089
  5. Step 5: Solve for x
    x = 18,014,203,089/89,481
  6. Step 6: Final answer
    x = 201,318.75

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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.