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Finding the Third Proportional to 73,069.50 and 110,087

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Solution

The third proportional to 73,069.50 and 110,087 is: 165,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,069.50 : 110,087 = 110,087 : x
  2. Step 2: Convert to fraction form
    73,069.50/110,087 = 110,087/x
  3. Step 3: Cross multiply
    73,069.50x = 110,087 × 110,087
  4. Step 4: Simplify right side
    73,069.50x = 12,119,147,569
  5. Step 5: Solve for x
    x = 12,119,147,569/73,069.50
  6. Step 6: Final answer
    x = 165,857.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.