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Finding the Third Proportional to 124,878 and 267,621

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Solution

The third proportional to 124,878 and 267,621 is: 573,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,878 : 267,621 = 267,621 : x
  2. Step 2: Convert to fraction form
    124,878/267,621 = 267,621/x
  3. Step 3: Cross multiply
    124,878x = 267,621 × 267,621
  4. Step 4: Simplify right side
    124,878x = 71,620,999,641
  5. Step 5: Solve for x
    x = 71,620,999,641/124,878
  6. Step 6: Final answer
    x = 573,527.76

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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.