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Finding the Third Proportional to 108,504 and 166,968

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Solution

The third proportional to 108,504 and 166,968 is: 256,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,504 : 166,968 = 166,968 : x
  2. Step 2: Convert to fraction form
    108,504/166,968 = 166,968/x
  3. Step 3: Cross multiply
    108,504x = 166,968 × 166,968
  4. Step 4: Simplify right side
    108,504x = 27,878,313,024
  5. Step 5: Solve for x
    x = 27,878,313,024/108,504
  6. Step 6: Final answer
    x = 256,933.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.