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Finding the Third Proportional to 133,788 and 182,226

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Solution

The third proportional to 133,788 and 182,226 is: 248,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,788 : 182,226 = 182,226 : x
  2. Step 2: Convert to fraction form
    133,788/182,226 = 182,226/x
  3. Step 3: Cross multiply
    133,788x = 182,226 × 182,226
  4. Step 4: Simplify right side
    133,788x = 33,206,315,076
  5. Step 5: Solve for x
    x = 33,206,315,076/133,788
  6. Step 6: Final answer
    x = 248,201.00

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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.