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Finding the Third Proportional to 33,090.75 and 78,050.25

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Solution

The third proportional to 33,090.75 and 78,050.25 is: 184,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090.75 : 78,050.25 = 78,050.25 : x
  2. Step 2: Convert to fraction form
    33,090.75/78,050.25 = 78,050.25/x
  3. Step 3: Cross multiply
    33,090.75x = 78,050.25 × 78,050.25
  4. Step 4: Simplify right side
    33,090.75x = 6,091,841,525.06
  5. Step 5: Solve for x
    x = 6,091,841,525.06/33,090.75
  6. Step 6: Final answer
    x = 184,095.00

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.