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Finding the Third Proportional to 44,998 and 67,124

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Solution

The third proportional to 44,998 and 67,124 is: 100,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,998 : 67,124 = 67,124 : x
  2. Step 2: Convert to fraction form
    44,998/67,124 = 67,124/x
  3. Step 3: Cross multiply
    44,998x = 67,124 × 67,124
  4. Step 4: Simplify right side
    44,998x = 4,505,631,376
  5. Step 5: Solve for x
    x = 4,505,631,376/44,998
  6. Step 6: Final answer
    x = 100,129.59

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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.