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Finding the Third Proportional to 126,102 and 276,774

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Solution

The third proportional to 126,102 and 276,774 is: 607,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,102 : 276,774 = 276,774 : x
  2. Step 2: Convert to fraction form
    126,102/276,774 = 276,774/x
  3. Step 3: Cross multiply
    126,102x = 276,774 × 276,774
  4. Step 4: Simplify right side
    126,102x = 76,603,847,076
  5. Step 5: Solve for x
    x = 76,603,847,076/126,102
  6. Step 6: Final answer
    x = 607,475.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.