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Finding the Third Proportional to 49,383 and 108,135

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Solution

The third proportional to 49,383 and 108,135 is: 236,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383 : 108,135 = 108,135 : x
  2. Step 2: Convert to fraction form
    49,383/108,135 = 108,135/x
  3. Step 3: Cross multiply
    49,383x = 108,135 × 108,135
  4. Step 4: Simplify right side
    49,383x = 11,693,178,225
  5. Step 5: Solve for x
    x = 11,693,178,225/49,383
  6. Step 6: Final answer
    x = 236,785.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.