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Finding the Third Proportional to 43,642 and 95,780

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Solution

The third proportional to 43,642 and 95,780 is: 210,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642 : 95,780 = 95,780 : x
  2. Step 2: Convert to fraction form
    43,642/95,780 = 95,780/x
  3. Step 3: Cross multiply
    43,642x = 95,780 × 95,780
  4. Step 4: Simplify right side
    43,642x = 9,173,808,400
  5. Step 5: Solve for x
    x = 9,173,808,400/43,642
  6. Step 6: Final answer
    x = 210,205.96

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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.