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Finding the Third Proportional to 47,142 and 73,568.25

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Solution

The third proportional to 47,142 and 73,568.25 is: 114,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142 : 73,568.25 = 73,568.25 : x
  2. Step 2: Convert to fraction form
    47,142/73,568.25 = 73,568.25/x
  3. Step 3: Cross multiply
    47,142x = 73,568.25 × 73,568.25
  4. Step 4: Simplify right side
    47,142x = 5,412,287,408.06
  5. Step 5: Solve for x
    x = 5,412,287,408.06/47,142
  6. Step 6: Final answer
    x = 114,808.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.