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Finding the Third Proportional to 123,986 and 267,650

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Solution

The third proportional to 123,986 and 267,650 is: 577,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,986 : 267,650 = 267,650 : x
  2. Step 2: Convert to fraction form
    123,986/267,650 = 267,650/x
  3. Step 3: Cross multiply
    123,986x = 267,650 × 267,650
  4. Step 4: Simplify right side
    123,986x = 71,636,522,500
  5. Step 5: Solve for x
    x = 71,636,522,500/123,986
  6. Step 6: Final answer
    x = 577,779.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.