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Finding the Third Proportional to 104,088 and 165,504

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Solution

The third proportional to 104,088 and 165,504 is: 263,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,088 : 165,504 = 165,504 : x
  2. Step 2: Convert to fraction form
    104,088/165,504 = 165,504/x
  3. Step 3: Cross multiply
    104,088x = 165,504 × 165,504
  4. Step 4: Simplify right side
    104,088x = 27,391,574,016
  5. Step 5: Solve for x
    x = 27,391,574,016/104,088
  6. Step 6: Final answer
    x = 263,157.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.