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Finding the Third Proportional to 60,930 and 91,393

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Solution

The third proportional to 60,930 and 91,393 is: 137,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,930 : 91,393 = 91,393 : x
  2. Step 2: Convert to fraction form
    60,930/91,393 = 91,393/x
  3. Step 3: Cross multiply
    60,930x = 91,393 × 91,393
  4. Step 4: Simplify right side
    60,930x = 8,352,680,449
  5. Step 5: Solve for x
    x = 8,352,680,449/60,930
  6. Step 6: Final answer
    x = 137,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.