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Finding the Third Proportional to 126,742 and 277,676

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Solution

The third proportional to 126,742 and 277,676 is: 608,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,742 : 277,676 = 277,676 : x
  2. Step 2: Convert to fraction form
    126,742/277,676 = 277,676/x
  3. Step 3: Cross multiply
    126,742x = 277,676 × 277,676
  4. Step 4: Simplify right side
    126,742x = 77,103,960,976
  5. Step 5: Solve for x
    x = 77,103,960,976/126,742
  6. Step 6: Final answer
    x = 608,353.67

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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.