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Finding the Third Proportional to 42,208.50 and 90,066.75

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Solution

The third proportional to 42,208.50 and 90,066.75 is: 192,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,208.50 : 90,066.75 = 90,066.75 : x
  2. Step 2: Convert to fraction form
    42,208.50/90,066.75 = 90,066.75/x
  3. Step 3: Cross multiply
    42,208.50x = 90,066.75 × 90,066.75
  4. Step 4: Simplify right side
    42,208.50x = 8,112,019,455.56
  5. Step 5: Solve for x
    x = 8,112,019,455.56/42,208.50
  6. Step 6: Final answer
    x = 192,189.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.