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Finding the Third Proportional to 89,174 and 122,279

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Solution

The third proportional to 89,174 and 122,279 is: 167,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,174 : 122,279 = 122,279 : x
  2. Step 2: Convert to fraction form
    89,174/122,279 = 122,279/x
  3. Step 3: Cross multiply
    89,174x = 122,279 × 122,279
  4. Step 4: Simplify right side
    89,174x = 14,952,153,841
  5. Step 5: Solve for x
    x = 14,952,153,841/89,174
  6. Step 6: Final answer
    x = 167,673.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.