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Finding the Third Proportional to 58,279 and 125,055

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Solution

The third proportional to 58,279 and 125,055 is: 268,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,279 : 125,055 = 125,055 : x
  2. Step 2: Convert to fraction form
    58,279/125,055 = 125,055/x
  3. Step 3: Cross multiply
    58,279x = 125,055 × 125,055
  4. Step 4: Simplify right side
    58,279x = 15,638,753,025
  5. Step 5: Solve for x
    x = 15,638,753,025/58,279
  6. Step 6: Final answer
    x = 268,342.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.