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Finding the Third Proportional to 136,916 and 183,144

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Solution

The third proportional to 136,916 and 183,144 is: 244,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,916 : 183,144 = 183,144 : x
  2. Step 2: Convert to fraction form
    136,916/183,144 = 183,144/x
  3. Step 3: Cross multiply
    136,916x = 183,144 × 183,144
  4. Step 4: Simplify right side
    136,916x = 33,541,724,736
  5. Step 5: Solve for x
    x = 33,541,724,736/136,916
  6. Step 6: Final answer
    x = 244,980.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.