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Finding the Third Proportional to 49,453.50 and 107,115

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Solution

The third proportional to 49,453.50 and 107,115 is: 232,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,453.50 : 107,115 = 107,115 : x
  2. Step 2: Convert to fraction form
    49,453.50/107,115 = 107,115/x
  3. Step 3: Cross multiply
    49,453.50x = 107,115 × 107,115
  4. Step 4: Simplify right side
    49,453.50x = 11,473,623,225
  5. Step 5: Solve for x
    x = 11,473,623,225/49,453.50
  6. Step 6: Final answer
    x = 232,008.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.