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Finding the Third Proportional to 114,589 and 177,068

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Solution

The third proportional to 114,589 and 177,068 is: 273,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,589 : 177,068 = 177,068 : x
  2. Step 2: Convert to fraction form
    114,589/177,068 = 177,068/x
  3. Step 3: Cross multiply
    114,589x = 177,068 × 177,068
  4. Step 4: Simplify right side
    114,589x = 31,353,076,624
  5. Step 5: Solve for x
    x = 31,353,076,624/114,589
  6. Step 6: Final answer
    x = 273,613.32

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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.