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Finding the Third Proportional to 108,505 and 166,969.50

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Solution

The third proportional to 108,505 and 166,969.50 is: 256,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,505 : 166,969.50 = 166,969.50 : x
  2. Step 2: Convert to fraction form
    108,505/166,969.50 = 166,969.50/x
  3. Step 3: Cross multiply
    108,505x = 166,969.50 × 166,969.50
  4. Step 4: Simplify right side
    108,505x = 27,878,813,930.25
  5. Step 5: Solve for x
    x = 27,878,813,930.25/108,505
  6. Step 6: Final answer
    x = 256,935.75

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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.