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Finding the Third Proportional to 48,064.52 and 103,524.41

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Solution

The third proportional to 48,064.52 and 103,524.41 is: 222,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064.52 : 103,524.41 = 103,524.41 : x
  2. Step 2: Convert to fraction form
    48,064.52/103,524.41 = 103,524.41/x
  3. Step 3: Cross multiply
    48,064.52x = 103,524.41 × 103,524.41
  4. Step 4: Simplify right side
    48,064.52x = 10,717,302,891.61
  5. Step 5: Solve for x
    x = 10,717,302,891.61/48,064.52
  6. Step 6: Final answer
    x = 222,977.42

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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.