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Finding the Third Proportional to 50,958 and 103,290

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Solution

The third proportional to 50,958 and 103,290 is: 209,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,958 : 103,290 = 103,290 : x
  2. Step 2: Convert to fraction form
    50,958/103,290 = 103,290/x
  3. Step 3: Cross multiply
    50,958x = 103,290 × 103,290
  4. Step 4: Simplify right side
    50,958x = 10,668,824,100
  5. Step 5: Solve for x
    x = 10,668,824,100/50,958
  6. Step 6: Final answer
    x = 209,365.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.