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Finding the Third Proportional to 108,746 and 162,608

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Solution

The third proportional to 108,746 and 162,608 is: 243,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,746 : 162,608 = 162,608 : x
  2. Step 2: Convert to fraction form
    108,746/162,608 = 162,608/x
  3. Step 3: Cross multiply
    108,746x = 162,608 × 162,608
  4. Step 4: Simplify right side
    108,746x = 26,441,361,664
  5. Step 5: Solve for x
    x = 26,441,361,664/108,746
  6. Step 6: Final answer
    x = 243,147.90

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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.