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Finding the Third Proportional to 125,210 and 271,651

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Solution

The third proportional to 125,210 and 271,651 is: 589,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,210 : 271,651 = 271,651 : x
  2. Step 2: Convert to fraction form
    125,210/271,651 = 271,651/x
  3. Step 3: Cross multiply
    125,210x = 271,651 × 271,651
  4. Step 4: Simplify right side
    125,210x = 73,794,265,801
  5. Step 5: Solve for x
    x = 73,794,265,801/125,210
  6. Step 6: Final answer
    x = 589,363.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.