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Finding the Third Proportional to 122,088 and 267,144

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Solution

The third proportional to 122,088 and 267,144 is: 584,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,088 : 267,144 = 267,144 : x
  2. Step 2: Convert to fraction form
    122,088/267,144 = 267,144/x
  3. Step 3: Cross multiply
    122,088x = 267,144 × 267,144
  4. Step 4: Simplify right side
    122,088x = 71,365,916,736
  5. Step 5: Solve for x
    x = 71,365,916,736/122,088
  6. Step 6: Final answer
    x = 584,544.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.