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Finding the Third Proportional to 108,274 and 161,863

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Solution

The third proportional to 108,274 and 161,863 is: 241,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,274 : 161,863 = 161,863 : x
  2. Step 2: Convert to fraction form
    108,274/161,863 = 161,863/x
  3. Step 3: Cross multiply
    108,274x = 161,863 × 161,863
  4. Step 4: Simplify right side
    108,274x = 26,199,630,769
  5. Step 5: Solve for x
    x = 26,199,630,769/108,274
  6. Step 6: Final answer
    x = 241,975.27

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Why These Related Problems?

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