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Finding the Third Proportional to 125,100 and 255,294

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Solution

The third proportional to 125,100 and 255,294 is: 520,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,100 : 255,294 = 255,294 : x
  2. Step 2: Convert to fraction form
    125,100/255,294 = 255,294/x
  3. Step 3: Cross multiply
    125,100x = 255,294 × 255,294
  4. Step 4: Simplify right side
    125,100x = 65,175,026,436
  5. Step 5: Solve for x
    x = 65,175,026,436/125,100
  6. Step 6: Final answer
    x = 520,983.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.