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Finding the Third Proportional to 50,958 and 74,870

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Solution

The third proportional to 50,958 and 74,870 is: 110,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,958 : 74,870 = 74,870 : x
  2. Step 2: Convert to fraction form
    50,958/74,870 = 74,870/x
  3. Step 3: Cross multiply
    50,958x = 74,870 × 74,870
  4. Step 4: Simplify right side
    50,958x = 5,605,516,900
  5. Step 5: Solve for x
    x = 5,605,516,900/50,958
  6. Step 6: Final answer
    x = 110,002.69

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