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Finding the Third Proportional to 90,051 and 195,958

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Solution

The third proportional to 90,051 and 195,958 is: 426,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,051 : 195,958 = 195,958 : x
  2. Step 2: Convert to fraction form
    90,051/195,958 = 195,958/x
  3. Step 3: Cross multiply
    90,051x = 195,958 × 195,958
  4. Step 4: Simplify right side
    90,051x = 38,399,537,764
  5. Step 5: Solve for x
    x = 38,399,537,764/90,051
  6. Step 6: Final answer
    x = 426,419.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.