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Finding the Third Proportional to 114,675.75 and 177,126.75

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Solution

The third proportional to 114,675.75 and 177,126.75 is: 273,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,675.75 : 177,126.75 = 177,126.75 : x
  2. Step 2: Convert to fraction form
    114,675.75/177,126.75 = 177,126.75/x
  3. Step 3: Cross multiply
    114,675.75x = 177,126.75 × 177,126.75
  4. Step 4: Simplify right side
    114,675.75x = 31,373,885,565.56
  5. Step 5: Solve for x
    x = 31,373,885,565.56/114,675.75
  6. Step 6: Final answer
    x = 273,587.79

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