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Finding the Third Proportional to 130,668 and 190,958

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Solution

The third proportional to 130,668 and 190,958 is: 279,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,668 : 190,958 = 190,958 : x
  2. Step 2: Convert to fraction form
    130,668/190,958 = 190,958/x
  3. Step 3: Cross multiply
    130,668x = 190,958 × 190,958
  4. Step 4: Simplify right side
    130,668x = 36,464,957,764
  5. Step 5: Solve for x
    x = 36,464,957,764/130,668
  6. Step 6: Final answer
    x = 279,065.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.