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Finding the Third Proportional to 50,019.82 and 76,300.10

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Solution

The third proportional to 50,019.82 and 76,300.10 is: 116,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,019.82 : 76,300.10 = 76,300.10 : x
  2. Step 2: Convert to fraction form
    50,019.82/76,300.10 = 76,300.10/x
  3. Step 3: Cross multiply
    50,019.82x = 76,300.10 × 76,300.10
  4. Step 4: Simplify right side
    50,019.82x = 5,821,705,498.45
  5. Step 5: Solve for x
    x = 5,821,705,498.45/50,019.82
  6. Step 6: Final answer
    x = 116,387.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.