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Finding the Third Proportional to 81,541 and 165,274

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Solution

The third proportional to 81,541 and 165,274 is: 334,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,541 : 165,274 = 165,274 : x
  2. Step 2: Convert to fraction form
    81,541/165,274 = 165,274/x
  3. Step 3: Cross multiply
    81,541x = 165,274 × 165,274
  4. Step 4: Simplify right side
    81,541x = 27,315,495,076
  5. Step 5: Solve for x
    x = 27,315,495,076/81,541
  6. Step 6: Final answer
    x = 334,990.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.