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Finding the Third Proportional to 69,222 and 108,446

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Solution

The third proportional to 69,222 and 108,446 is: 169,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,222 : 108,446 = 108,446 : x
  2. Step 2: Convert to fraction form
    69,222/108,446 = 108,446/x
  3. Step 3: Cross multiply
    69,222x = 108,446 × 108,446
  4. Step 4: Simplify right side
    69,222x = 11,760,534,916
  5. Step 5: Solve for x
    x = 11,760,534,916/69,222
  6. Step 6: Final answer
    x = 169,895.91

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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.