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Finding the Third Proportional to 43,720 and 93,809

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Solution

The third proportional to 43,720 and 93,809 is: 201,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,720 : 93,809 = 93,809 : x
  2. Step 2: Convert to fraction form
    43,720/93,809 = 93,809/x
  3. Step 3: Cross multiply
    43,720x = 93,809 × 93,809
  4. Step 4: Simplify right side
    43,720x = 8,800,128,481
  5. Step 5: Solve for x
    x = 8,800,128,481/43,720
  6. Step 6: Final answer
    x = 201,283.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.