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Finding the Third Proportional to 124,613 and 273,351

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Solution

The third proportional to 124,613 and 273,351 is: 599,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,613 : 273,351 = 273,351 : x
  2. Step 2: Convert to fraction form
    124,613/273,351 = 273,351/x
  3. Step 3: Cross multiply
    124,613x = 273,351 × 273,351
  4. Step 4: Simplify right side
    124,613x = 74,720,769,201
  5. Step 5: Solve for x
    x = 74,720,769,201/124,613
  6. Step 6: Final answer
    x = 599,622.59

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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.