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Finding the Third Proportional to 104,787 and 165,998.25

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Solution

The third proportional to 104,787 and 165,998.25 is: 262,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,787 : 165,998.25 = 165,998.25 : x
  2. Step 2: Convert to fraction form
    104,787/165,998.25 = 165,998.25/x
  3. Step 3: Cross multiply
    104,787x = 165,998.25 × 165,998.25
  4. Step 4: Simplify right side
    104,787x = 27,555,419,003.06
  5. Step 5: Solve for x
    x = 27,555,419,003.06/104,787
  6. Step 6: Final answer
    x = 262,966.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.