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Finding the Third Proportional to 50,980 and 74,970

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Solution

The third proportional to 50,980 and 74,970 is: 110,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,980 : 74,970 = 74,970 : x
  2. Step 2: Convert to fraction form
    50,980/74,970 = 74,970/x
  3. Step 3: Cross multiply
    50,980x = 74,970 × 74,970
  4. Step 4: Simplify right side
    50,980x = 5,620,500,900
  5. Step 5: Solve for x
    x = 5,620,500,900/50,980
  6. Step 6: Final answer
    x = 110,249.13

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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.