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Finding the Third Proportional to 125,517 and 271,427

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Solution

The third proportional to 125,517 and 271,427 is: 586,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,517 : 271,427 = 271,427 : x
  2. Step 2: Convert to fraction form
    125,517/271,427 = 271,427/x
  3. Step 3: Cross multiply
    125,517x = 271,427 × 271,427
  4. Step 4: Simplify right side
    125,517x = 73,672,616,329
  5. Step 5: Solve for x
    x = 73,672,616,329/125,517
  6. Step 6: Final answer
    x = 586,953.29

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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.