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Finding the Third Proportional to 49,203 and 106,185

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Solution

The third proportional to 49,203 and 106,185 is: 229,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203 : 106,185 = 106,185 : x
  2. Step 2: Convert to fraction form
    49,203/106,185 = 106,185/x
  3. Step 3: Cross multiply
    49,203x = 106,185 × 106,185
  4. Step 4: Simplify right side
    49,203x = 11,275,254,225
  5. Step 5: Solve for x
    x = 11,275,254,225/49,203
  6. Step 6: Final answer
    x = 229,157.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.