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Finding the Third Proportional to 126,104 and 276,778

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Solution

The third proportional to 126,104 and 276,778 is: 607,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,104 : 276,778 = 276,778 : x
  2. Step 2: Convert to fraction form
    126,104/276,778 = 276,778/x
  3. Step 3: Cross multiply
    126,104x = 276,778 × 276,778
  4. Step 4: Simplify right side
    126,104x = 76,606,061,284
  5. Step 5: Solve for x
    x = 76,606,061,284/126,104
  6. Step 6: Final answer
    x = 607,483.20

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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.