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Finding the Third Proportional to 67,703 and 104,778

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Solution

The third proportional to 67,703 and 104,778 is: 162,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,703 : 104,778 = 104,778 : x
  2. Step 2: Convert to fraction form
    67,703/104,778 = 104,778/x
  3. Step 3: Cross multiply
    67,703x = 104,778 × 104,778
  4. Step 4: Simplify right side
    67,703x = 10,978,429,284
  5. Step 5: Solve for x
    x = 10,978,429,284/67,703
  6. Step 6: Final answer
    x = 162,155.73

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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.