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Finding the Third Proportional to 49,247.37 and 76,180.50

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Solution

The third proportional to 49,247.37 and 76,180.50 is: 117,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,247.37 : 76,180.50 = 76,180.50 : x
  2. Step 2: Convert to fraction form
    49,247.37/76,180.50 = 76,180.50/x
  3. Step 3: Cross multiply
    49,247.37x = 76,180.50 × 76,180.50
  4. Step 4: Simplify right side
    49,247.37x = 5,803,468,580.25
  5. Step 5: Solve for x
    x = 5,803,468,580.25/49,247.37
  6. Step 6: Final answer
    x = 117,843.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.