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Finding the Third Proportional to 73,630 and 104,105

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Solution

The third proportional to 73,630 and 104,105 is: 147,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,630 : 104,105 = 104,105 : x
  2. Step 2: Convert to fraction form
    73,630/104,105 = 104,105/x
  3. Step 3: Cross multiply
    73,630x = 104,105 × 104,105
  4. Step 4: Simplify right side
    73,630x = 10,837,851,025
  5. Step 5: Solve for x
    x = 10,837,851,025/73,630
  6. Step 6: Final answer
    x = 147,193.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.