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Finding the Third Proportional to 40,563 and 86,859

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Solution

The third proportional to 40,563 and 86,859 is: 185,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,563 : 86,859 = 86,859 : x
  2. Step 2: Convert to fraction form
    40,563/86,859 = 86,859/x
  3. Step 3: Cross multiply
    40,563x = 86,859 × 86,859
  4. Step 4: Simplify right side
    40,563x = 7,544,485,881
  5. Step 5: Solve for x
    x = 7,544,485,881/40,563
  6. Step 6: Final answer
    x = 185,994.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.