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Finding the Third Proportional to 73,406.25 and 110,297.25

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Solution

The third proportional to 73,406.25 and 110,297.25 is: 165,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,406.25 : 110,297.25 = 110,297.25 : x
  2. Step 2: Convert to fraction form
    73,406.25/110,297.25 = 110,297.25/x
  3. Step 3: Cross multiply
    73,406.25x = 110,297.25 × 110,297.25
  4. Step 4: Simplify right side
    73,406.25x = 12,165,483,357.56
  5. Step 5: Solve for x
    x = 12,165,483,357.56/73,406.25
  6. Step 6: Final answer
    x = 165,728.17

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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.