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Finding the Third Proportional to 122,117 and 266,626

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Solution

The third proportional to 122,117 and 266,626 is: 582,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,117 : 266,626 = 266,626 : x
  2. Step 2: Convert to fraction form
    122,117/266,626 = 266,626/x
  3. Step 3: Cross multiply
    122,117x = 266,626 × 266,626
  4. Step 4: Simplify right side
    122,117x = 71,089,423,876
  5. Step 5: Solve for x
    x = 71,089,423,876/122,117
  6. Step 6: Final answer
    x = 582,141.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.