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Finding the Third Proportional to 124,112 and 267,903

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Solution

The third proportional to 124,112 and 267,903 is: 578,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,112 : 267,903 = 267,903 : x
  2. Step 2: Convert to fraction form
    124,112/267,903 = 267,903/x
  3. Step 3: Cross multiply
    124,112x = 267,903 × 267,903
  4. Step 4: Simplify right side
    124,112x = 71,772,017,409
  5. Step 5: Solve for x
    x = 71,772,017,409/124,112
  6. Step 6: Final answer
    x = 578,284.27

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Why These Related Problems?

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