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Finding the Third Proportional to 35,823 and 84,261

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Solution

The third proportional to 35,823 and 84,261 is: 198,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,823 : 84,261 = 84,261 : x
  2. Step 2: Convert to fraction form
    35,823/84,261 = 84,261/x
  3. Step 3: Cross multiply
    35,823x = 84,261 × 84,261
  4. Step 4: Simplify right side
    35,823x = 7,099,916,121
  5. Step 5: Solve for x
    x = 7,099,916,121/35,823
  6. Step 6: Final answer
    x = 198,194.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.