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Finding the Third Proportional to 51,671.53 and 73,135.69

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Solution

The third proportional to 51,671.53 and 73,135.69 is: 103,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671.53 : 73,135.69 = 73,135.69 : x
  2. Step 2: Convert to fraction form
    51,671.53/73,135.69 = 73,135.69/x
  3. Step 3: Cross multiply
    51,671.53x = 73,135.69 × 73,135.69
  4. Step 4: Simplify right side
    51,671.53x = 5,348,828,786.10
  5. Step 5: Solve for x
    x = 5,348,828,786.10/51,671.53
  6. Step 6: Final answer
    x = 103,515.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.