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Finding the Third Proportional to 108,940 and 154,158

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Solution

The third proportional to 108,940 and 154,158 is: 218,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,940 : 154,158 = 154,158 : x
  2. Step 2: Convert to fraction form
    108,940/154,158 = 154,158/x
  3. Step 3: Cross multiply
    108,940x = 154,158 × 154,158
  4. Step 4: Simplify right side
    108,940x = 23,764,688,964
  5. Step 5: Solve for x
    x = 23,764,688,964/108,940
  6. Step 6: Final answer
    x = 218,144.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.