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Finding the Third Proportional to 40,256 and 86,712

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Solution

The third proportional to 40,256 and 86,712 is: 186,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,256 : 86,712 = 86,712 : x
  2. Step 2: Convert to fraction form
    40,256/86,712 = 86,712/x
  3. Step 3: Cross multiply
    40,256x = 86,712 × 86,712
  4. Step 4: Simplify right side
    40,256x = 7,518,970,944
  5. Step 5: Solve for x
    x = 7,518,970,944/40,256
  6. Step 6: Final answer
    x = 186,778.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.