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Finding the Third Proportional to 108,993 and 166,659

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Solution

The third proportional to 108,993 and 166,659 is: 254,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,993 : 166,659 = 166,659 : x
  2. Step 2: Convert to fraction form
    108,993/166,659 = 166,659/x
  3. Step 3: Cross multiply
    108,993x = 166,659 × 166,659
  4. Step 4: Simplify right side
    108,993x = 27,775,222,281
  5. Step 5: Solve for x
    x = 27,775,222,281/108,993
  6. Step 6: Final answer
    x = 254,834.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.