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Finding the Third Proportional to 54,798 and 82,197

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Solution

The third proportional to 54,798 and 82,197 is: 123,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798 : 82,197 = 82,197 : x
  2. Step 2: Convert to fraction form
    54,798/82,197 = 82,197/x
  3. Step 3: Cross multiply
    54,798x = 82,197 × 82,197
  4. Step 4: Simplify right side
    54,798x = 6,756,346,809
  5. Step 5: Solve for x
    x = 6,756,346,809/54,798
  6. Step 6: Final answer
    x = 123,295.50

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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.