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Finding the Third Proportional to 124,016 and 267,904

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Solution

The third proportional to 124,016 and 267,904 is: 578,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,016 : 267,904 = 267,904 : x
  2. Step 2: Convert to fraction form
    124,016/267,904 = 267,904/x
  3. Step 3: Cross multiply
    124,016x = 267,904 × 267,904
  4. Step 4: Simplify right side
    124,016x = 71,772,553,216
  5. Step 5: Solve for x
    x = 71,772,553,216/124,016
  6. Step 6: Final answer
    x = 578,736.24

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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.