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Finding the Third Proportional to 67,308 and 104,517

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Solution

The third proportional to 67,308 and 104,517 is: 162,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,308 : 104,517 = 104,517 : x
  2. Step 2: Convert to fraction form
    67,308/104,517 = 104,517/x
  3. Step 3: Cross multiply
    67,308x = 104,517 × 104,517
  4. Step 4: Simplify right side
    67,308x = 10,923,803,289
  5. Step 5: Solve for x
    x = 10,923,803,289/67,308
  6. Step 6: Final answer
    x = 162,295.76

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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.