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Finding the Third Proportional to 124,613 and 274,147

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Solution

The third proportional to 124,613 and 274,147 is: 603,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,613 : 274,147 = 274,147 : x
  2. Step 2: Convert to fraction form
    124,613/274,147 = 274,147/x
  3. Step 3: Cross multiply
    124,613x = 274,147 × 274,147
  4. Step 4: Simplify right side
    124,613x = 75,156,577,609
  5. Step 5: Solve for x
    x = 75,156,577,609/124,613
  6. Step 6: Final answer
    x = 603,119.88

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