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Finding the Third Proportional to 125,924 and 274,001

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Solution

The third proportional to 125,924 and 274,001 is: 596,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,924 : 274,001 = 274,001 : x
  2. Step 2: Convert to fraction form
    125,924/274,001 = 274,001/x
  3. Step 3: Cross multiply
    125,924x = 274,001 × 274,001
  4. Step 4: Simplify right side
    125,924x = 75,076,548,001
  5. Step 5: Solve for x
    x = 75,076,548,001/125,924
  6. Step 6: Final answer
    x = 596,205.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.