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Finding the Third Proportional to 73,941 and 113,655

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Solution

The third proportional to 73,941 and 113,655 is: 174,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,941 : 113,655 = 113,655 : x
  2. Step 2: Convert to fraction form
    73,941/113,655 = 113,655/x
  3. Step 3: Cross multiply
    73,941x = 113,655 × 113,655
  4. Step 4: Simplify right side
    73,941x = 12,917,459,025
  5. Step 5: Solve for x
    x = 12,917,459,025/73,941
  6. Step 6: Final answer
    x = 174,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.