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Finding the Third Proportional to 133,926.75 and 181,889.63

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Solution

The third proportional to 133,926.75 and 181,889.63 is: 247,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,926.75 : 181,889.63 = 181,889.63 : x
  2. Step 2: Convert to fraction form
    133,926.75/181,889.63 = 181,889.63/x
  3. Step 3: Cross multiply
    133,926.75x = 181,889.63 × 181,889.63
  4. Step 4: Simplify right side
    133,926.75x = 33,083,835,682.64
  5. Step 5: Solve for x
    x = 33,083,835,682.64/133,926.75
  6. Step 6: Final answer
    x = 247,029.33

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.