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Finding the Third Proportional to 45,994 and 99,367

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Solution

The third proportional to 45,994 and 99,367 is: 214,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,994 : 99,367 = 99,367 : x
  2. Step 2: Convert to fraction form
    45,994/99,367 = 99,367/x
  3. Step 3: Cross multiply
    45,994x = 99,367 × 99,367
  4. Step 4: Simplify right side
    45,994x = 9,873,800,689
  5. Step 5: Solve for x
    x = 9,873,800,689/45,994
  6. Step 6: Final answer
    x = 214,675.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.