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Finding the Third Proportional to 43,842 and 95,970

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Solution

The third proportional to 43,842 and 95,970 is: 210,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842 : 95,970 = 95,970 : x
  2. Step 2: Convert to fraction form
    43,842/95,970 = 95,970/x
  3. Step 3: Cross multiply
    43,842x = 95,970 × 95,970
  4. Step 4: Simplify right side
    43,842x = 9,210,240,900
  5. Step 5: Solve for x
    x = 9,210,240,900/43,842
  6. Step 6: Final answer
    x = 210,078.03

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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.