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Finding the Third Proportional to 67,350 and 104,571

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Solution

The third proportional to 67,350 and 104,571 is: 162,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,350 : 104,571 = 104,571 : x
  2. Step 2: Convert to fraction form
    67,350/104,571 = 104,571/x
  3. Step 3: Cross multiply
    67,350x = 104,571 × 104,571
  4. Step 4: Simplify right side
    67,350x = 10,935,094,041
  5. Step 5: Solve for x
    x = 10,935,094,041/67,350
  6. Step 6: Final answer
    x = 162,362.20

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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.