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Finding the Third Proportional to 63,093.94 and 105,153.19

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Solution

The third proportional to 63,093.94 and 105,153.19 is: 175,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,093.94 : 105,153.19 = 105,153.19 : x
  2. Step 2: Convert to fraction form
    63,093.94/105,153.19 = 105,153.19/x
  3. Step 3: Cross multiply
    63,093.94x = 105,153.19 × 105,153.19
  4. Step 4: Simplify right side
    63,093.94x = 11,057,192,841.41
  5. Step 5: Solve for x
    x = 11,057,192,841.41/63,093.94
  6. Step 6: Final answer
    x = 175,249.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.