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Finding the Third Proportional to 62,798 and 94,198

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Solution

The third proportional to 62,798 and 94,198 is: 141,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,798 : 94,198 = 94,198 : x
  2. Step 2: Convert to fraction form
    62,798/94,198 = 94,198/x
  3. Step 3: Cross multiply
    62,798x = 94,198 × 94,198
  4. Step 4: Simplify right side
    62,798x = 8,873,263,204
  5. Step 5: Solve for x
    x = 8,873,263,204/62,798
  6. Step 6: Final answer
    x = 141,298.50

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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.