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Finding the Third Proportional to 133,143.75 and 187,277.06

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Solution

The third proportional to 133,143.75 and 187,277.06 is: 263,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,143.75 : 187,277.06 = 187,277.06 : x
  2. Step 2: Convert to fraction form
    133,143.75/187,277.06 = 187,277.06/x
  3. Step 3: Cross multiply
    133,143.75x = 187,277.06 × 187,277.06
  4. Step 4: Simplify right side
    133,143.75x = 35,072,698,138.63
  5. Step 5: Solve for x
    x = 35,072,698,138.63/133,143.75
  6. Step 6: Final answer
    x = 263,419.79

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Why These Related Problems?

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