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Finding the Third Proportional to 108,089 and 161,701

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Solution

The third proportional to 108,089 and 161,701 is: 241,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,089 : 161,701 = 161,701 : x
  2. Step 2: Convert to fraction form
    108,089/161,701 = 161,701/x
  3. Step 3: Cross multiply
    108,089x = 161,701 × 161,701
  4. Step 4: Simplify right side
    108,089x = 26,147,213,401
  5. Step 5: Solve for x
    x = 26,147,213,401/108,089
  6. Step 6: Final answer
    x = 241,904.48

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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.