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Finding the Third Proportional to 114,672 and 177,116

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Solution

The third proportional to 114,672 and 177,116 is: 273,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,672 : 177,116 = 177,116 : x
  2. Step 2: Convert to fraction form
    114,672/177,116 = 177,116/x
  3. Step 3: Cross multiply
    114,672x = 177,116 × 177,116
  4. Step 4: Simplify right side
    114,672x = 31,370,077,456
  5. Step 5: Solve for x
    x = 31,370,077,456/114,672
  6. Step 6: Final answer
    x = 273,563.53

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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.