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Finding the Third Proportional to 73,629.50 and 111,058

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Solution

The third proportional to 73,629.50 and 111,058 is: 167,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,629.50 : 111,058 = 111,058 : x
  2. Step 2: Convert to fraction form
    73,629.50/111,058 = 111,058/x
  3. Step 3: Cross multiply
    73,629.50x = 111,058 × 111,058
  4. Step 4: Simplify right side
    73,629.50x = 12,333,879,364
  5. Step 5: Solve for x
    x = 12,333,879,364/73,629.50
  6. Step 6: Final answer
    x = 167,512.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.