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Finding the Third Proportional to 108,081 and 173,655

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Solution

The third proportional to 108,081 and 173,655 is: 279,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,081 : 173,655 = 173,655 : x
  2. Step 2: Convert to fraction form
    108,081/173,655 = 173,655/x
  3. Step 3: Cross multiply
    108,081x = 173,655 × 173,655
  4. Step 4: Simplify right side
    108,081x = 30,156,059,025
  5. Step 5: Solve for x
    x = 30,156,059,025/108,081
  6. Step 6: Final answer
    x = 279,013.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.