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Finding the Third Proportional to 45,846 and 93,954

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Solution

The third proportional to 45,846 and 93,954 is: 192,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,846 : 93,954 = 93,954 : x
  2. Step 2: Convert to fraction form
    45,846/93,954 = 93,954/x
  3. Step 3: Cross multiply
    45,846x = 93,954 × 93,954
  4. Step 4: Simplify right side
    45,846x = 8,827,354,116
  5. Step 5: Solve for x
    x = 8,827,354,116/45,846
  6. Step 6: Final answer
    x = 192,543.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.