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Finding the Third Proportional to 108,979 and 164,096

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Solution

The third proportional to 108,979 and 164,096 is: 247,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,979 : 164,096 = 164,096 : x
  2. Step 2: Convert to fraction form
    108,979/164,096 = 164,096/x
  3. Step 3: Cross multiply
    108,979x = 164,096 × 164,096
  4. Step 4: Simplify right side
    108,979x = 26,927,497,216
  5. Step 5: Solve for x
    x = 26,927,497,216/108,979
  6. Step 6: Final answer
    x = 247,088.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.