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Finding the Third Proportional to 125,404 and 268,064

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Solution

The third proportional to 125,404 and 268,064 is: 573,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,404 : 268,064 = 268,064 : x
  2. Step 2: Convert to fraction form
    125,404/268,064 = 268,064/x
  3. Step 3: Cross multiply
    125,404x = 268,064 × 268,064
  4. Step 4: Simplify right side
    125,404x = 71,858,308,096
  5. Step 5: Solve for x
    x = 71,858,308,096/125,404
  6. Step 6: Final answer
    x = 573,014.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.