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Finding the Third Proportional to 108,500 and 162,170

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Solution

The third proportional to 108,500 and 162,170 is: 242,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,500 : 162,170 = 162,170 : x
  2. Step 2: Convert to fraction form
    108,500/162,170 = 162,170/x
  3. Step 3: Cross multiply
    108,500x = 162,170 × 162,170
  4. Step 4: Simplify right side
    108,500x = 26,299,108,900
  5. Step 5: Solve for x
    x = 26,299,108,900/108,500
  6. Step 6: Final answer
    x = 242,388.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.