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Finding the Third Proportional to 104,038 and 165,562

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Solution

The third proportional to 104,038 and 165,562 is: 263,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,038 : 165,562 = 165,562 : x
  2. Step 2: Convert to fraction form
    104,038/165,562 = 165,562/x
  3. Step 3: Cross multiply
    104,038x = 165,562 × 165,562
  4. Step 4: Simplify right side
    104,038x = 27,410,775,844
  5. Step 5: Solve for x
    x = 27,410,775,844/104,038
  6. Step 6: Final answer
    x = 263,468.88

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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.