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Finding the Third Proportional to 43,406 and 95,122

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Solution

The third proportional to 43,406 and 95,122 is: 208,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,406 : 95,122 = 95,122 : x
  2. Step 2: Convert to fraction form
    43,406/95,122 = 95,122/x
  3. Step 3: Cross multiply
    43,406x = 95,122 × 95,122
  4. Step 4: Simplify right side
    43,406x = 9,048,194,884
  5. Step 5: Solve for x
    x = 9,048,194,884/43,406
  6. Step 6: Final answer
    x = 208,454.93

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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.