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Finding the Third Proportional to 69,024 and 107,088

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Solution

The third proportional to 69,024 and 107,088 is: 166,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,024 : 107,088 = 107,088 : x
  2. Step 2: Convert to fraction form
    69,024/107,088 = 107,088/x
  3. Step 3: Cross multiply
    69,024x = 107,088 × 107,088
  4. Step 4: Simplify right side
    69,024x = 11,467,839,744
  5. Step 5: Solve for x
    x = 11,467,839,744/69,024
  6. Step 6: Final answer
    x = 166,142.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.