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Finding the Third Proportional to 49,848.75 and 108,035.44

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Solution

The third proportional to 49,848.75 and 108,035.44 is: 234,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,848.75 : 108,035.44 = 108,035.44 : x
  2. Step 2: Convert to fraction form
    49,848.75/108,035.44 = 108,035.44/x
  3. Step 3: Cross multiply
    49,848.75x = 108,035.44 × 108,035.44
  4. Step 4: Simplify right side
    49,848.75x = 11,671,655,755.82
  5. Step 5: Solve for x
    x = 11,671,655,755.82/49,848.75
  6. Step 6: Final answer
    x = 234,141.39

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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.