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Finding the Third Proportional to 49,492 and 107,192

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Solution

The third proportional to 49,492 and 107,192 is: 232,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492 : 107,192 = 107,192 : x
  2. Step 2: Convert to fraction form
    49,492/107,192 = 107,192/x
  3. Step 3: Cross multiply
    49,492x = 107,192 × 107,192
  4. Step 4: Simplify right side
    49,492x = 11,490,124,864
  5. Step 5: Solve for x
    x = 11,490,124,864/49,492
  6. Step 6: Final answer
    x = 232,161.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.