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Finding the Third Proportional to 40,962 and 86,294

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Solution

The third proportional to 40,962 and 86,294 is: 181,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,962 : 86,294 = 86,294 : x
  2. Step 2: Convert to fraction form
    40,962/86,294 = 86,294/x
  3. Step 3: Cross multiply
    40,962x = 86,294 × 86,294
  4. Step 4: Simplify right side
    40,962x = 7,446,654,436
  5. Step 5: Solve for x
    x = 7,446,654,436/40,962
  6. Step 6: Final answer
    x = 181,794.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.