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Finding the Third Proportional to 126,504 and 272,556

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Solution

The third proportional to 126,504 and 272,556 is: 587,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,504 : 272,556 = 272,556 : x
  2. Step 2: Convert to fraction form
    126,504/272,556 = 272,556/x
  3. Step 3: Cross multiply
    126,504x = 272,556 × 272,556
  4. Step 4: Simplify right side
    126,504x = 74,286,773,136
  5. Step 5: Solve for x
    x = 74,286,773,136/126,504
  6. Step 6: Final answer
    x = 587,228.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.