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Finding the Third Proportional to 122,927.25 and 268,194.75

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Solution

The third proportional to 122,927.25 and 268,194.75 is: 585,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,927.25 : 268,194.75 = 268,194.75 : x
  2. Step 2: Convert to fraction form
    122,927.25/268,194.75 = 268,194.75/x
  3. Step 3: Cross multiply
    122,927.25x = 268,194.75 × 268,194.75
  4. Step 4: Simplify right side
    122,927.25x = 71,928,423,927.56
  5. Step 5: Solve for x
    x = 71,928,423,927.56/122,927.25
  6. Step 6: Final answer
    x = 585,130.02

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