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Finding the Third Proportional to 106,942 and 232,098

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Solution

The third proportional to 106,942 and 232,098 is: 503,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,942 : 232,098 = 232,098 : x
  2. Step 2: Convert to fraction form
    106,942/232,098 = 232,098/x
  3. Step 3: Cross multiply
    106,942x = 232,098 × 232,098
  4. Step 4: Simplify right side
    106,942x = 53,869,481,604
  5. Step 5: Solve for x
    x = 53,869,481,604/106,942
  6. Step 6: Final answer
    x = 503,726.15

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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.