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Finding the Third Proportional to 81,003 and 121,504

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Solution

The third proportional to 81,003 and 121,504 is: 182,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,003 : 121,504 = 121,504 : x
  2. Step 2: Convert to fraction form
    81,003/121,504 = 121,504/x
  3. Step 3: Cross multiply
    81,003x = 121,504 × 121,504
  4. Step 4: Simplify right side
    81,003x = 14,763,222,016
  5. Step 5: Solve for x
    x = 14,763,222,016/81,003
  6. Step 6: Final answer
    x = 182,255.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.