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Finding the Third Proportional to 108,234 and 161,911

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Solution

The third proportional to 108,234 and 161,911 is: 242,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,234 : 161,911 = 161,911 : x
  2. Step 2: Convert to fraction form
    108,234/161,911 = 161,911/x
  3. Step 3: Cross multiply
    108,234x = 161,911 × 161,911
  4. Step 4: Simplify right side
    108,234x = 26,215,171,921
  5. Step 5: Solve for x
    x = 26,215,171,921/108,234
  6. Step 6: Final answer
    x = 242,208.29

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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.