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Finding the Third Proportional to 45,749 and 73,058

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Solution

The third proportional to 45,749 and 73,058 is: 116,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,749 : 73,058 = 73,058 : x
  2. Step 2: Convert to fraction form
    45,749/73,058 = 73,058/x
  3. Step 3: Cross multiply
    45,749x = 73,058 × 73,058
  4. Step 4: Simplify right side
    45,749x = 5,337,471,364
  5. Step 5: Solve for x
    x = 5,337,471,364/45,749
  6. Step 6: Final answer
    x = 116,668.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.