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Finding the Third Proportional to 45,848 and 95,824

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Solution

The third proportional to 45,848 and 95,824 is: 200,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,848 : 95,824 = 95,824 : x
  2. Step 2: Convert to fraction form
    45,848/95,824 = 95,824/x
  3. Step 3: Cross multiply
    45,848x = 95,824 × 95,824
  4. Step 4: Simplify right side
    45,848x = 9,182,238,976
  5. Step 5: Solve for x
    x = 9,182,238,976/45,848
  6. Step 6: Final answer
    x = 200,275.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.