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Finding the Third Proportional to 122,906 and 268,060

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Solution

The third proportional to 122,906 and 268,060 is: 584,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,906 : 268,060 = 268,060 : x
  2. Step 2: Convert to fraction form
    122,906/268,060 = 268,060/x
  3. Step 3: Cross multiply
    122,906x = 268,060 × 268,060
  4. Step 4: Simplify right side
    122,906x = 71,856,163,600
  5. Step 5: Solve for x
    x = 71,856,163,600/122,906
  6. Step 6: Final answer
    x = 584,643.25

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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.