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Finding the Third Proportional to 47,751 and 73,702

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Solution

The third proportional to 47,751 and 73,702 is: 113,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751 : 73,702 = 73,702 : x
  2. Step 2: Convert to fraction form
    47,751/73,702 = 73,702/x
  3. Step 3: Cross multiply
    47,751x = 73,702 × 73,702
  4. Step 4: Simplify right side
    47,751x = 5,431,984,804
  5. Step 5: Solve for x
    x = 5,431,984,804/47,751
  6. Step 6: Final answer
    x = 113,756.46

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Why These Related Problems?

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