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Finding the Third Proportional to 50,146 and 74,671

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Solution

The third proportional to 50,146 and 74,671 is: 111,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,146 : 74,671 = 74,671 : x
  2. Step 2: Convert to fraction form
    50,146/74,671 = 74,671/x
  3. Step 3: Cross multiply
    50,146x = 74,671 × 74,671
  4. Step 4: Simplify right side
    50,146x = 5,575,758,241
  5. Step 5: Solve for x
    x = 5,575,758,241/50,146
  6. Step 6: Final answer
    x = 111,190.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.