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Finding the Third Proportional to 43,018 and 100,535

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Solution

The third proportional to 43,018 and 100,535 is: 234,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,018 : 100,535 = 100,535 : x
  2. Step 2: Convert to fraction form
    43,018/100,535 = 100,535/x
  3. Step 3: Cross multiply
    43,018x = 100,535 × 100,535
  4. Step 4: Simplify right side
    43,018x = 10,107,286,225
  5. Step 5: Solve for x
    x = 10,107,286,225/43,018
  6. Step 6: Final answer
    x = 234,954.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.