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Finding the Third Proportional to 124,876 and 271,926

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Solution

The third proportional to 124,876 and 271,926 is: 592,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,876 : 271,926 = 271,926 : x
  2. Step 2: Convert to fraction form
    124,876/271,926 = 271,926/x
  3. Step 3: Cross multiply
    124,876x = 271,926 × 271,926
  4. Step 4: Simplify right side
    124,876x = 73,943,749,476
  5. Step 5: Solve for x
    x = 73,943,749,476/124,876
  6. Step 6: Final answer
    x = 592,137.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.