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Finding the Third Proportional to 49,300 and 73,926

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Solution

The third proportional to 49,300 and 73,926 is: 110,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,300 : 73,926 = 73,926 : x
  2. Step 2: Convert to fraction form
    49,300/73,926 = 73,926/x
  3. Step 3: Cross multiply
    49,300x = 73,926 × 73,926
  4. Step 4: Simplify right side
    49,300x = 5,465,053,476
  5. Step 5: Solve for x
    x = 5,465,053,476/49,300
  6. Step 6: Final answer
    x = 110,853.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.