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Finding the Third Proportional to 49,588 and 109,235

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Solution

The third proportional to 49,588 and 109,235 is: 240,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,588 : 109,235 = 109,235 : x
  2. Step 2: Convert to fraction form
    49,588/109,235 = 109,235/x
  3. Step 3: Cross multiply
    49,588x = 109,235 × 109,235
  4. Step 4: Simplify right side
    49,588x = 11,932,285,225
  5. Step 5: Solve for x
    x = 11,932,285,225/49,588
  6. Step 6: Final answer
    x = 240,628.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.