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Finding the Third Proportional to 138,406 and 181,736

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Solution

The third proportional to 138,406 and 181,736 is: 238,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406 : 181,736 = 181,736 : x
  2. Step 2: Convert to fraction form
    138,406/181,736 = 181,736/x
  3. Step 3: Cross multiply
    138,406x = 181,736 × 181,736
  4. Step 4: Simplify right side
    138,406x = 33,027,973,696
  5. Step 5: Solve for x
    x = 33,027,973,696/138,406
  6. Step 6: Final answer
    x = 238,631.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.