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Finding the Third Proportional to 103,685 and 165,374

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Solution

The third proportional to 103,685 and 165,374 is: 263,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685 : 165,374 = 165,374 : x
  2. Step 2: Convert to fraction form
    103,685/165,374 = 165,374/x
  3. Step 3: Cross multiply
    103,685x = 165,374 × 165,374
  4. Step 4: Simplify right side
    103,685x = 27,348,559,876
  5. Step 5: Solve for x
    x = 27,348,559,876/103,685
  6. Step 6: Final answer
    x = 263,765.83

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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.