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Finding the Third Proportional to 126,912 and 275,046

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Solution

The third proportional to 126,912 and 275,046 is: 596,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,912 : 275,046 = 275,046 : x
  2. Step 2: Convert to fraction form
    126,912/275,046 = 275,046/x
  3. Step 3: Cross multiply
    126,912x = 275,046 × 275,046
  4. Step 4: Simplify right side
    126,912x = 75,650,302,116
  5. Step 5: Solve for x
    x = 75,650,302,116/126,912
  6. Step 6: Final answer
    x = 596,084.71

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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.