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Finding the Third Proportional to 120,736 and 183,111

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Solution

The third proportional to 120,736 and 183,111 is: 277,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736 : 183,111 = 183,111 : x
  2. Step 2: Convert to fraction form
    120,736/183,111 = 183,111/x
  3. Step 3: Cross multiply
    120,736x = 183,111 × 183,111
  4. Step 4: Simplify right side
    120,736x = 33,529,638,321
  5. Step 5: Solve for x
    x = 33,529,638,321/120,736
  6. Step 6: Final answer
    x = 277,710.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.