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Finding the Third Proportional to 127,073 and 267,250

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Solution

The third proportional to 127,073 and 267,250 is: 562,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,073 : 267,250 = 267,250 : x
  2. Step 2: Convert to fraction form
    127,073/267,250 = 267,250/x
  3. Step 3: Cross multiply
    127,073x = 267,250 × 267,250
  4. Step 4: Simplify right side
    127,073x = 71,422,562,500
  5. Step 5: Solve for x
    x = 71,422,562,500/127,073
  6. Step 6: Final answer
    x = 562,059.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.