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Finding the Third Proportional to 57,189 and 84,951

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Solution

The third proportional to 57,189 and 84,951 is: 126,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189 : 84,951 = 84,951 : x
  2. Step 2: Convert to fraction form
    57,189/84,951 = 84,951/x
  3. Step 3: Cross multiply
    57,189x = 84,951 × 84,951
  4. Step 4: Simplify right side
    57,189x = 7,216,672,401
  5. Step 5: Solve for x
    x = 7,216,672,401/57,189
  6. Step 6: Final answer
    x = 126,189.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.