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Finding the Third Proportional to 124,150 and 267,988

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Solution

The third proportional to 124,150 and 267,988 is: 578,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,150 : 267,988 = 267,988 : x
  2. Step 2: Convert to fraction form
    124,150/267,988 = 267,988/x
  3. Step 3: Cross multiply
    124,150x = 267,988 × 267,988
  4. Step 4: Simplify right side
    124,150x = 71,817,568,144
  5. Step 5: Solve for x
    x = 71,817,568,144/124,150
  6. Step 6: Final answer
    x = 578,474.17

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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.