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Finding the Third Proportional to 108,538 and 162,601

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Solution

The third proportional to 108,538 and 162,601 is: 243,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538 : 162,601 = 162,601 : x
  2. Step 2: Convert to fraction form
    108,538/162,601 = 162,601/x
  3. Step 3: Cross multiply
    108,538x = 162,601 × 162,601
  4. Step 4: Simplify right side
    108,538x = 26,439,085,201
  5. Step 5: Solve for x
    x = 26,439,085,201/108,538
  6. Step 6: Final answer
    x = 243,592.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.