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Finding the Third Proportional to 108,171 and 161,356

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Solution

The third proportional to 108,171 and 161,356 is: 240,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,171 : 161,356 = 161,356 : x
  2. Step 2: Convert to fraction form
    108,171/161,356 = 161,356/x
  3. Step 3: Cross multiply
    108,171x = 161,356 × 161,356
  4. Step 4: Simplify right side
    108,171x = 26,035,758,736
  5. Step 5: Solve for x
    x = 26,035,758,736/108,171
  6. Step 6: Final answer
    x = 240,690.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.