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Finding the Third Proportional to 108,399 and 154,068

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Solution

The third proportional to 108,399 and 154,068 is: 218,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,399 : 154,068 = 154,068 : x
  2. Step 2: Convert to fraction form
    108,399/154,068 = 154,068/x
  3. Step 3: Cross multiply
    108,399x = 154,068 × 154,068
  4. Step 4: Simplify right side
    108,399x = 23,736,948,624
  5. Step 5: Solve for x
    x = 23,736,948,624/108,399
  6. Step 6: Final answer
    x = 218,977.56

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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.