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Finding the Third Proportional to 35,541 and 82,278

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Solution

The third proportional to 35,541 and 82,278 is: 190,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,541 : 82,278 = 82,278 : x
  2. Step 2: Convert to fraction form
    35,541/82,278 = 82,278/x
  3. Step 3: Cross multiply
    35,541x = 82,278 × 82,278
  4. Step 4: Simplify right side
    35,541x = 6,769,669,284
  5. Step 5: Solve for x
    x = 6,769,669,284/35,541
  6. Step 6: Final answer
    x = 190,474.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.