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Finding the Third Proportional to 123,062 and 267,468

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Solution

The third proportional to 123,062 and 267,468 is: 581,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,062 : 267,468 = 267,468 : x
  2. Step 2: Convert to fraction form
    123,062/267,468 = 267,468/x
  3. Step 3: Cross multiply
    123,062x = 267,468 × 267,468
  4. Step 4: Simplify right side
    123,062x = 71,539,131,024
  5. Step 5: Solve for x
    x = 71,539,131,024/123,062
  6. Step 6: Final answer
    x = 581,325.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.