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Finding the Third Proportional to 55,223.44 and 114,544.13

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Solution

The third proportional to 55,223.44 and 114,544.13 is: 237,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,223.44 : 114,544.13 = 114,544.13 : x
  2. Step 2: Convert to fraction form
    55,223.44/114,544.13 = 114,544.13/x
  3. Step 3: Cross multiply
    55,223.44x = 114,544.13 × 114,544.13
  4. Step 4: Simplify right side
    55,223.44x = 13,120,356,572.02
  5. Step 5: Solve for x
    x = 13,120,356,572.02/55,223.44
  6. Step 6: Final answer
    x = 237,586.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.