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Finding the Third Proportional to 69,997.50 and 106,292.25

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Solution

The third proportional to 69,997.50 and 106,292.25 is: 161,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,997.50 : 106,292.25 = 106,292.25 : x
  2. Step 2: Convert to fraction form
    69,997.50/106,292.25 = 106,292.25/x
  3. Step 3: Cross multiply
    69,997.50x = 106,292.25 × 106,292.25
  4. Step 4: Simplify right side
    69,997.50x = 11,298,042,410.06
  5. Step 5: Solve for x
    x = 11,298,042,410.06/69,997.50
  6. Step 6: Final answer
    x = 161,406.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.