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Finding the Third Proportional to 47,762 and 73,839

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Solution

The third proportional to 47,762 and 73,839 is: 114,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762 : 73,839 = 73,839 : x
  2. Step 2: Convert to fraction form
    47,762/73,839 = 73,839/x
  3. Step 3: Cross multiply
    47,762x = 73,839 × 73,839
  4. Step 4: Simplify right side
    47,762x = 5,452,197,921
  5. Step 5: Solve for x
    x = 5,452,197,921/47,762
  6. Step 6: Final answer
    x = 114,153.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.