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Finding the Third Proportional to 126,050 and 265,868

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Solution

The third proportional to 126,050 and 265,868 is: 560,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,050 : 265,868 = 265,868 : x
  2. Step 2: Convert to fraction form
    126,050/265,868 = 265,868/x
  3. Step 3: Cross multiply
    126,050x = 265,868 × 265,868
  4. Step 4: Simplify right side
    126,050x = 70,685,793,424
  5. Step 5: Solve for x
    x = 70,685,793,424/126,050
  6. Step 6: Final answer
    x = 560,775.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.