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Finding the Third Proportional to 72,279 and 114,990

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Solution

The third proportional to 72,279 and 114,990 is: 182,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,279 : 114,990 = 114,990 : x
  2. Step 2: Convert to fraction form
    72,279/114,990 = 114,990/x
  3. Step 3: Cross multiply
    72,279x = 114,990 × 114,990
  4. Step 4: Simplify right side
    72,279x = 13,222,700,100
  5. Step 5: Solve for x
    x = 13,222,700,100/72,279
  6. Step 6: Final answer
    x = 182,939.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.