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Finding the Third Proportional to 49,395 and 108,159

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Solution

The third proportional to 49,395 and 108,159 is: 236,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,395 : 108,159 = 108,159 : x
  2. Step 2: Convert to fraction form
    49,395/108,159 = 108,159/x
  3. Step 3: Cross multiply
    49,395x = 108,159 × 108,159
  4. Step 4: Simplify right side
    49,395x = 11,698,369,281
  5. Step 5: Solve for x
    x = 11,698,369,281/49,395
  6. Step 6: Final answer
    x = 236,833.07

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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.