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Finding the Third Proportional to 108,546 and 162,611

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Solution

The third proportional to 108,546 and 162,611 is: 243,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,546 : 162,611 = 162,611 : x
  2. Step 2: Convert to fraction form
    108,546/162,611 = 162,611/x
  3. Step 3: Cross multiply
    108,546x = 162,611 × 162,611
  4. Step 4: Simplify right side
    108,546x = 26,442,337,321
  5. Step 5: Solve for x
    x = 26,442,337,321/108,546
  6. Step 6: Final answer
    x = 243,604.90

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