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Finding the Third Proportional to 43,646 and 95,606

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Solution

The third proportional to 43,646 and 95,606 is: 209,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,646 : 95,606 = 95,606 : x
  2. Step 2: Convert to fraction form
    43,646/95,606 = 95,606/x
  3. Step 3: Cross multiply
    43,646x = 95,606 × 95,606
  4. Step 4: Simplify right side
    43,646x = 9,140,507,236
  5. Step 5: Solve for x
    x = 9,140,507,236/43,646
  6. Step 6: Final answer
    x = 209,423.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.