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Finding the Third Proportional to 126,052 and 265,873

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Solution

The third proportional to 126,052 and 265,873 is: 560,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052 : 265,873 = 265,873 : x
  2. Step 2: Convert to fraction form
    126,052/265,873 = 265,873/x
  3. Step 3: Cross multiply
    126,052x = 265,873 × 265,873
  4. Step 4: Simplify right side
    126,052x = 70,688,452,129
  5. Step 5: Solve for x
    x = 70,688,452,129/126,052
  6. Step 6: Final answer
    x = 560,788.03

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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.