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Finding the Third Proportional to 114,121.41 and 178,090.84

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Solution

The third proportional to 114,121.41 and 178,090.84 is: 277,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,121.41 : 178,090.84 = 178,090.84 : x
  2. Step 2: Convert to fraction form
    114,121.41/178,090.84 = 178,090.84/x
  3. Step 3: Cross multiply
    114,121.41x = 178,090.84 × 178,090.84
  4. Step 4: Simplify right side
    114,121.41x = 31,716,347,236.25
  5. Step 5: Solve for x
    x = 31,716,347,236.25/114,121.41
  6. Step 6: Final answer
    x = 277,917.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.