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Finding the Third Proportional to 58,524 and 125,930

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Solution

The third proportional to 58,524 and 125,930 is: 270,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,524 : 125,930 = 125,930 : x
  2. Step 2: Convert to fraction form
    58,524/125,930 = 125,930/x
  3. Step 3: Cross multiply
    58,524x = 125,930 × 125,930
  4. Step 4: Simplify right side
    58,524x = 15,858,364,900
  5. Step 5: Solve for x
    x = 15,858,364,900/58,524
  6. Step 6: Final answer
    x = 270,971.99

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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.