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Finding the Third Proportional to 67,202 and 110,655

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Solution

The third proportional to 67,202 and 110,655 is: 182,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,202 : 110,655 = 110,655 : x
  2. Step 2: Convert to fraction form
    67,202/110,655 = 110,655/x
  3. Step 3: Cross multiply
    67,202x = 110,655 × 110,655
  4. Step 4: Simplify right side
    67,202x = 12,244,529,025
  5. Step 5: Solve for x
    x = 12,244,529,025/67,202
  6. Step 6: Final answer
    x = 182,204.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.