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Finding the Third Proportional to 73,203.75 and 109,517.06

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Solution

The third proportional to 73,203.75 and 109,517.06 is: 163,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,203.75 : 109,517.06 = 109,517.06 : x
  2. Step 2: Convert to fraction form
    73,203.75/109,517.06 = 109,517.06/x
  3. Step 3: Cross multiply
    73,203.75x = 109,517.06 × 109,517.06
  4. Step 4: Simplify right side
    73,203.75x = 11,993,986,978.63
  5. Step 5: Solve for x
    x = 11,993,986,978.63/73,203.75
  6. Step 6: Final answer
    x = 163,843.89

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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.