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Finding the Third Proportional to 89,200 and 122,317

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Solution

The third proportional to 89,200 and 122,317 is: 167,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,200 : 122,317 = 122,317 : x
  2. Step 2: Convert to fraction form
    89,200/122,317 = 122,317/x
  3. Step 3: Cross multiply
    89,200x = 122,317 × 122,317
  4. Step 4: Simplify right side
    89,200x = 14,961,448,489
  5. Step 5: Solve for x
    x = 14,961,448,489/89,200
  6. Step 6: Final answer
    x = 167,729.24

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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.