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Finding the Third Proportional to 124,858 and 275,166

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Solution

The third proportional to 124,858 and 275,166 is: 606,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,858 : 275,166 = 275,166 : x
  2. Step 2: Convert to fraction form
    124,858/275,166 = 275,166/x
  3. Step 3: Cross multiply
    124,858x = 275,166 × 275,166
  4. Step 4: Simplify right side
    124,858x = 75,716,327,556
  5. Step 5: Solve for x
    x = 75,716,327,556/124,858
  6. Step 6: Final answer
    x = 606,419.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.