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Finding the Third Proportional to 114,686 and 177,142

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Solution

The third proportional to 114,686 and 177,142 is: 273,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,686 : 177,142 = 177,142 : x
  2. Step 2: Convert to fraction form
    114,686/177,142 = 177,142/x
  3. Step 3: Cross multiply
    114,686x = 177,142 × 177,142
  4. Step 4: Simplify right side
    114,686x = 31,379,288,164
  5. Step 5: Solve for x
    x = 31,379,288,164/114,686
  6. Step 6: Final answer
    x = 273,610.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.