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Finding the Third Proportional to 49,350 and 100,532

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Solution

The third proportional to 49,350 and 100,532 is: 204,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350 : 100,532 = 100,532 : x
  2. Step 2: Convert to fraction form
    49,350/100,532 = 100,532/x
  3. Step 3: Cross multiply
    49,350x = 100,532 × 100,532
  4. Step 4: Simplify right side
    49,350x = 10,106,683,024
  5. Step 5: Solve for x
    x = 10,106,683,024/49,350
  6. Step 6: Final answer
    x = 204,796.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.