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Finding the Third Proportional to 40,159 and 86,426

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Solution

The third proportional to 40,159 and 86,426 is: 185,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,159 : 86,426 = 86,426 : x
  2. Step 2: Convert to fraction form
    40,159/86,426 = 86,426/x
  3. Step 3: Cross multiply
    40,159x = 86,426 × 86,426
  4. Step 4: Simplify right side
    40,159x = 7,469,453,476
  5. Step 5: Solve for x
    x = 7,469,453,476/40,159
  6. Step 6: Final answer
    x = 185,997.00

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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.