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Finding the Third Proportional to 44,994 and 67,119

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Solution

The third proportional to 44,994 and 67,119 is: 100,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,994 : 67,119 = 67,119 : x
  2. Step 2: Convert to fraction form
    44,994/67,119 = 67,119/x
  3. Step 3: Cross multiply
    44,994x = 67,119 × 67,119
  4. Step 4: Simplify right side
    44,994x = 4,504,960,161
  5. Step 5: Solve for x
    x = 4,504,960,161/44,994
  6. Step 6: Final answer
    x = 100,123.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.