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Finding the Third Proportional to 126,952 and 275,774

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Solution

The third proportional to 126,952 and 275,774 is: 599,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,952 : 275,774 = 275,774 : x
  2. Step 2: Convert to fraction form
    126,952/275,774 = 275,774/x
  3. Step 3: Cross multiply
    126,952x = 275,774 × 275,774
  4. Step 4: Simplify right side
    126,952x = 76,051,299,076
  5. Step 5: Solve for x
    x = 76,051,299,076/126,952
  6. Step 6: Final answer
    x = 599,055.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.