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Finding the Third Proportional to 89,208 and 122,328

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Solution

The third proportional to 89,208 and 122,328 is: 167,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,208 : 122,328 = 122,328 : x
  2. Step 2: Convert to fraction form
    89,208/122,328 = 122,328/x
  3. Step 3: Cross multiply
    89,208x = 122,328 × 122,328
  4. Step 4: Simplify right side
    89,208x = 14,964,139,584
  5. Step 5: Solve for x
    x = 14,964,139,584/89,208
  6. Step 6: Final answer
    x = 167,744.37

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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.