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Finding the Third Proportional to 125,682 and 271,044

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Solution

The third proportional to 125,682 and 271,044 is: 584,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,682 : 271,044 = 271,044 : x
  2. Step 2: Convert to fraction form
    125,682/271,044 = 271,044/x
  3. Step 3: Cross multiply
    125,682x = 271,044 × 271,044
  4. Step 4: Simplify right side
    125,682x = 73,464,849,936
  5. Step 5: Solve for x
    x = 73,464,849,936/125,682
  6. Step 6: Final answer
    x = 584,529.61

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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.