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Finding the Third Proportional to 49,654 and 74,945

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Solution

The third proportional to 49,654 and 74,945 is: 113,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,654 : 74,945 = 74,945 : x
  2. Step 2: Convert to fraction form
    49,654/74,945 = 74,945/x
  3. Step 3: Cross multiply
    49,654x = 74,945 × 74,945
  4. Step 4: Simplify right side
    49,654x = 5,616,753,025
  5. Step 5: Solve for x
    x = 5,616,753,025/49,654
  6. Step 6: Final answer
    x = 113,117.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.