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Finding the Third Proportional to 104,712 and 166,780

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Solution

The third proportional to 104,712 and 166,780 is: 265,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,712 : 166,780 = 166,780 : x
  2. Step 2: Convert to fraction form
    104,712/166,780 = 166,780/x
  3. Step 3: Cross multiply
    104,712x = 166,780 × 166,780
  4. Step 4: Simplify right side
    104,712x = 27,815,568,400
  5. Step 5: Solve for x
    x = 27,815,568,400/104,712
  6. Step 6: Final answer
    x = 265,638.78

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Why These Related Problems?

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