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Finding the Third Proportional to 125,456 and 275,488

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Solution

The third proportional to 125,456 and 275,488 is: 604,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,456 : 275,488 = 275,488 : x
  2. Step 2: Convert to fraction form
    125,456/275,488 = 275,488/x
  3. Step 3: Cross multiply
    125,456x = 275,488 × 275,488
  4. Step 4: Simplify right side
    125,456x = 75,893,638,144
  5. Step 5: Solve for x
    x = 75,893,638,144/125,456
  6. Step 6: Final answer
    x = 604,942.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.