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Finding the Third Proportional to 125,916 and 272,568

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Solution

The third proportional to 125,916 and 272,568 is: 590,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,916 : 272,568 = 272,568 : x
  2. Step 2: Convert to fraction form
    125,916/272,568 = 272,568/x
  3. Step 3: Cross multiply
    125,916x = 272,568 × 272,568
  4. Step 4: Simplify right side
    125,916x = 74,293,314,624
  5. Step 5: Solve for x
    x = 74,293,314,624/125,916
  6. Step 6: Final answer
    x = 590,022.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.