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Finding the Third Proportional to 50,972 and 74,958

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Solution

The third proportional to 50,972 and 74,958 is: 110,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972 : 74,958 = 74,958 : x
  2. Step 2: Convert to fraction form
    50,972/74,958 = 74,958/x
  3. Step 3: Cross multiply
    50,972x = 74,958 × 74,958
  4. Step 4: Simplify right side
    50,972x = 5,618,701,764
  5. Step 5: Solve for x
    x = 5,618,701,764/50,972
  6. Step 6: Final answer
    x = 110,231.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.