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Finding the Third Proportional to 122,070.94 and 267,415.31

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Solution

The third proportional to 122,070.94 and 267,415.31 is: 585,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,070.94 : 267,415.31 = 267,415.31 : x
  2. Step 2: Convert to fraction form
    122,070.94/267,415.31 = 267,415.31/x
  3. Step 3: Cross multiply
    122,070.94x = 267,415.31 × 267,415.31
  4. Step 4: Simplify right side
    122,070.94x = 71,510,949,359.47
  5. Step 5: Solve for x
    x = 71,510,949,359.47/122,070.94
  6. Step 6: Final answer
    x = 585,814.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.