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Finding the Third Proportional to 108,834 and 154,053

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Solution

The third proportional to 108,834 and 154,053 is: 218,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,834 : 154,053 = 154,053 : x
  2. Step 2: Convert to fraction form
    108,834/154,053 = 154,053/x
  3. Step 3: Cross multiply
    108,834x = 154,053 × 154,053
  4. Step 4: Simplify right side
    108,834x = 23,732,326,809
  5. Step 5: Solve for x
    x = 23,732,326,809/108,834
  6. Step 6: Final answer
    x = 218,059.86

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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.