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Finding the Third Proportional to 50,091 and 102,033

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Solution

The third proportional to 50,091 and 102,033 is: 207,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,091 : 102,033 = 102,033 : x
  2. Step 2: Convert to fraction form
    50,091/102,033 = 102,033/x
  3. Step 3: Cross multiply
    50,091x = 102,033 × 102,033
  4. Step 4: Simplify right side
    50,091x = 10,410,733,089
  5. Step 5: Solve for x
    x = 10,410,733,089/50,091
  6. Step 6: Final answer
    x = 207,836.40

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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.