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Finding the Third Proportional to 133,899.75 and 177,703.88

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Solution

The third proportional to 133,899.75 and 177,703.88 is: 235,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,899.75 : 177,703.88 = 177,703.88 : x
  2. Step 2: Convert to fraction form
    133,899.75/177,703.88 = 177,703.88/x
  3. Step 3: Cross multiply
    133,899.75x = 177,703.88 × 177,703.88
  4. Step 4: Simplify right side
    133,899.75x = 31,578,667,190.02
  5. Step 5: Solve for x
    x = 31,578,667,190.02/133,899.75
  6. Step 6: Final answer
    x = 235,838.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.