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Finding the Third Proportional to 114,586 and 177,063

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Solution

The third proportional to 114,586 and 177,063 is: 273,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,586 : 177,063 = 177,063 : x
  2. Step 2: Convert to fraction form
    114,586/177,063 = 177,063/x
  3. Step 3: Cross multiply
    114,586x = 177,063 × 177,063
  4. Step 4: Simplify right side
    114,586x = 31,351,305,969
  5. Step 5: Solve for x
    x = 31,351,305,969/114,586
  6. Step 6: Final answer
    x = 273,605.03

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Why These Related Problems?

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