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Finding the Third Proportional to 73,071.75 and 109,617.75

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Solution

The third proportional to 73,071.75 and 109,617.75 is: 164,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071.75 : 109,617.75 = 109,617.75 : x
  2. Step 2: Convert to fraction form
    73,071.75/109,617.75 = 109,617.75/x
  3. Step 3: Cross multiply
    73,071.75x = 109,617.75 × 109,617.75
  4. Step 4: Simplify right side
    73,071.75x = 12,016,051,115.06
  5. Step 5: Solve for x
    x = 12,016,051,115.06/73,071.75
  6. Step 6: Final answer
    x = 164,441.81

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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.