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Finding the Third Proportional to 45,933 and 101,733

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Solution

The third proportional to 45,933 and 101,733 is: 225,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,933 : 101,733 = 101,733 : x
  2. Step 2: Convert to fraction form
    45,933/101,733 = 101,733/x
  3. Step 3: Cross multiply
    45,933x = 101,733 × 101,733
  4. Step 4: Simplify right side
    45,933x = 10,349,603,289
  5. Step 5: Solve for x
    x = 10,349,603,289/45,933
  6. Step 6: Final answer
    x = 225,319.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.