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Finding the Third Proportional to 122,734 and 273,116

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Solution

The third proportional to 122,734 and 273,116 is: 607,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,734 : 273,116 = 273,116 : x
  2. Step 2: Convert to fraction form
    122,734/273,116 = 273,116/x
  3. Step 3: Cross multiply
    122,734x = 273,116 × 273,116
  4. Step 4: Simplify right side
    122,734x = 74,592,349,456
  5. Step 5: Solve for x
    x = 74,592,349,456/122,734
  6. Step 6: Final answer
    x = 607,756.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.