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Finding the Third Proportional to 121,453 and 267,007

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Solution

The third proportional to 121,453 and 267,007 is: 586,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,453 : 267,007 = 267,007 : x
  2. Step 2: Convert to fraction form
    121,453/267,007 = 267,007/x
  3. Step 3: Cross multiply
    121,453x = 267,007 × 267,007
  4. Step 4: Simplify right side
    121,453x = 71,292,738,049
  5. Step 5: Solve for x
    x = 71,292,738,049/121,453
  6. Step 6: Final answer
    x = 586,998.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.