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Finding the Third Proportional to 133,152.75 and 187,290

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Solution

The third proportional to 133,152.75 and 187,290 is: 263,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,152.75 : 187,290 = 187,290 : x
  2. Step 2: Convert to fraction form
    133,152.75/187,290 = 187,290/x
  3. Step 3: Cross multiply
    133,152.75x = 187,290 × 187,290
  4. Step 4: Simplify right side
    133,152.75x = 35,077,544,100
  5. Step 5: Solve for x
    x = 35,077,544,100/133,152.75
  6. Step 6: Final answer
    x = 263,438.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.