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Finding the Third Proportional to 49,916 and 109,232

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Solution

The third proportional to 49,916 and 109,232 is: 239,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,916 : 109,232 = 109,232 : x
  2. Step 2: Convert to fraction form
    49,916/109,232 = 109,232/x
  3. Step 3: Cross multiply
    49,916x = 109,232 × 109,232
  4. Step 4: Simplify right side
    49,916x = 11,931,629,824
  5. Step 5: Solve for x
    x = 11,931,629,824/49,916
  6. Step 6: Final answer
    x = 239,034.17

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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.