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Finding the Third Proportional to 42,723 and 92,019.84

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Solution

The third proportional to 42,723 and 92,019.84 is: 198,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,723 : 92,019.84 = 92,019.84 : x
  2. Step 2: Convert to fraction form
    42,723/92,019.84 = 92,019.84/x
  3. Step 3: Cross multiply
    42,723x = 92,019.84 × 92,019.84
  4. Step 4: Simplify right side
    42,723x = 8,467,651,643.77
  5. Step 5: Solve for x
    x = 8,467,651,643.77/42,723
  6. Step 6: Final answer
    x = 198,198.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.