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Finding the Third Proportional to 43,037 and 100,586

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Solution

The third proportional to 43,037 and 100,586 is: 235,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,037 : 100,586 = 100,586 : x
  2. Step 2: Convert to fraction form
    43,037/100,586 = 100,586/x
  3. Step 3: Cross multiply
    43,037x = 100,586 × 100,586
  4. Step 4: Simplify right side
    43,037x = 10,117,543,396
  5. Step 5: Solve for x
    x = 10,117,543,396/43,037
  6. Step 6: Final answer
    x = 235,089.42

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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.