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Finding the Third Proportional to 40,456 and 86,101

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Solution

The third proportional to 40,456 and 86,101 is: 183,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,456 : 86,101 = 86,101 : x
  2. Step 2: Convert to fraction form
    40,456/86,101 = 86,101/x
  3. Step 3: Cross multiply
    40,456x = 86,101 × 86,101
  4. Step 4: Simplify right side
    40,456x = 7,413,382,201
  5. Step 5: Solve for x
    x = 7,413,382,201/40,456
  6. Step 6: Final answer
    x = 183,245.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.