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Finding the Third Proportional to 48,144.38 and 74,107.41

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Solution

The third proportional to 48,144.38 and 74,107.41 is: 114,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,144.38 : 74,107.41 = 74,107.41 : x
  2. Step 2: Convert to fraction form
    48,144.38/74,107.41 = 74,107.41/x
  3. Step 3: Cross multiply
    48,144.38x = 74,107.41 × 74,107.41
  4. Step 4: Simplify right side
    48,144.38x = 5,491,907,661.10
  5. Step 5: Solve for x
    x = 5,491,907,661.10/48,144.38
  6. Step 6: Final answer
    x = 114,071.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.