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Finding the Third Proportional to 125,450 and 271,348

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Solution

The third proportional to 125,450 and 271,348 is: 586,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,450 : 271,348 = 271,348 : x
  2. Step 2: Convert to fraction form
    125,450/271,348 = 271,348/x
  3. Step 3: Cross multiply
    125,450x = 271,348 × 271,348
  4. Step 4: Simplify right side
    125,450x = 73,629,737,104
  5. Step 5: Solve for x
    x = 73,629,737,104/125,450
  6. Step 6: Final answer
    x = 586,924.97

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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.