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Finding the Third Proportional to 43,468 and 95,012

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Solution

The third proportional to 43,468 and 95,012 is: 207,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,468 : 95,012 = 95,012 : x
  2. Step 2: Convert to fraction form
    43,468/95,012 = 95,012/x
  3. Step 3: Cross multiply
    43,468x = 95,012 × 95,012
  4. Step 4: Simplify right side
    43,468x = 9,027,280,144
  5. Step 5: Solve for x
    x = 9,027,280,144/43,468
  6. Step 6: Final answer
    x = 207,676.45

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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.