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Finding the Third Proportional to 122,873.63 and 267,981.75

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Solution

The third proportional to 122,873.63 and 267,981.75 is: 584,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,873.63 : 267,981.75 = 267,981.75 : x
  2. Step 2: Convert to fraction form
    122,873.63/267,981.75 = 267,981.75/x
  3. Step 3: Cross multiply
    122,873.63x = 267,981.75 × 267,981.75
  4. Step 4: Simplify right side
    122,873.63x = 71,814,218,333.06
  5. Step 5: Solve for x
    x = 71,814,218,333.06/122,873.63
  6. Step 6: Final answer
    x = 584,455.93

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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.