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Finding the Third Proportional to 49,116.38 and 74,084.63

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Solution

The third proportional to 49,116.38 and 74,084.63 is: 111,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,116.38 : 74,084.63 = 74,084.63 : x
  2. Step 2: Convert to fraction form
    49,116.38/74,084.63 = 74,084.63/x
  3. Step 3: Cross multiply
    49,116.38x = 74,084.63 × 74,084.63
  4. Step 4: Simplify right side
    49,116.38x = 5,488,531,661.39
  5. Step 5: Solve for x
    x = 5,488,531,661.39/49,116.38
  6. Step 6: Final answer
    x = 111,745.45

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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.