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Finding the Third Proportional to 125,026 and 267,912

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Solution

The third proportional to 125,026 and 267,912 is: 574,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,026 : 267,912 = 267,912 : x
  2. Step 2: Convert to fraction form
    125,026/267,912 = 267,912/x
  3. Step 3: Cross multiply
    125,026x = 267,912 × 267,912
  4. Step 4: Simplify right side
    125,026x = 71,776,839,744
  5. Step 5: Solve for x
    x = 71,776,839,744/125,026
  6. Step 6: Final answer
    x = 574,095.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.