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Finding the Third Proportional to 33,774.75 and 78,189.75

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Solution

The third proportional to 33,774.75 and 78,189.75 is: 181,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.75 : 78,189.75 = 78,189.75 : x
  2. Step 2: Convert to fraction form
    33,774.75/78,189.75 = 78,189.75/x
  3. Step 3: Cross multiply
    33,774.75x = 78,189.75 × 78,189.75
  4. Step 4: Simplify right side
    33,774.75x = 6,113,637,005.06
  5. Step 5: Solve for x
    x = 6,113,637,005.06/33,774.75
  6. Step 6: Final answer
    x = 181,012.06

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.