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Finding the Third Proportional to 43,720 and 95,846

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Solution

The third proportional to 43,720 and 95,846 is: 210,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,720 : 95,846 = 95,846 : x
  2. Step 2: Convert to fraction form
    43,720/95,846 = 95,846/x
  3. Step 3: Cross multiply
    43,720x = 95,846 × 95,846
  4. Step 4: Simplify right side
    43,720x = 9,186,455,716
  5. Step 5: Solve for x
    x = 9,186,455,716/43,720
  6. Step 6: Final answer
    x = 210,120.21

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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.