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Finding the Third Proportional to 69,231 and 108,456

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Solution

The third proportional to 69,231 and 108,456 is: 169,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,231 : 108,456 = 108,456 : x
  2. Step 2: Convert to fraction form
    69,231/108,456 = 108,456/x
  3. Step 3: Cross multiply
    69,231x = 108,456 × 108,456
  4. Step 4: Simplify right side
    69,231x = 11,762,703,936
  5. Step 5: Solve for x
    x = 11,762,703,936/69,231
  6. Step 6: Final answer
    x = 169,905.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.