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Finding the Third Proportional to 49,090 and 74,546

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Solution

The third proportional to 49,090 and 74,546 is: 113,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,090 : 74,546 = 74,546 : x
  2. Step 2: Convert to fraction form
    49,090/74,546 = 74,546/x
  3. Step 3: Cross multiply
    49,090x = 74,546 × 74,546
  4. Step 4: Simplify right side
    49,090x = 5,557,106,116
  5. Step 5: Solve for x
    x = 5,557,106,116/49,090
  6. Step 6: Final answer
    x = 113,202.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.