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Finding the Third Proportional to 126,024 and 275,160

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Solution

The third proportional to 126,024 and 275,160 is: 600,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,024 : 275,160 = 275,160 : x
  2. Step 2: Convert to fraction form
    126,024/275,160 = 275,160/x
  3. Step 3: Cross multiply
    126,024x = 275,160 × 275,160
  4. Step 4: Simplify right side
    126,024x = 75,713,025,600
  5. Step 5: Solve for x
    x = 75,713,025,600/126,024
  6. Step 6: Final answer
    x = 600,782.59

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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.