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Finding the Third Proportional to 42,420.38 and 79,764.75

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Solution

The third proportional to 42,420.38 and 79,764.75 is: 149,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,420.38 : 79,764.75 = 79,764.75 : x
  2. Step 2: Convert to fraction form
    42,420.38/79,764.75 = 79,764.75/x
  3. Step 3: Cross multiply
    42,420.38x = 79,764.75 × 79,764.75
  4. Step 4: Simplify right side
    42,420.38x = 6,362,415,342.56
  5. Step 5: Solve for x
    x = 6,362,415,342.56/42,420.38
  6. Step 6: Final answer
    x = 149,984.89

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.