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Finding the Third Proportional to 43,554 and 95,412

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Solution

The third proportional to 43,554 and 95,412 is: 209,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,554 : 95,412 = 95,412 : x
  2. Step 2: Convert to fraction form
    43,554/95,412 = 95,412/x
  3. Step 3: Cross multiply
    43,554x = 95,412 × 95,412
  4. Step 4: Simplify right side
    43,554x = 9,103,449,744
  5. Step 5: Solve for x
    x = 9,103,449,744/43,554
  6. Step 6: Final answer
    x = 209,015.24

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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.