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Finding the Third Proportional to 42,351.75 and 90,649.50

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Solution

The third proportional to 42,351.75 and 90,649.50 is: 194,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,351.75 : 90,649.50 = 90,649.50 : x
  2. Step 2: Convert to fraction form
    42,351.75/90,649.50 = 90,649.50/x
  3. Step 3: Cross multiply
    42,351.75x = 90,649.50 × 90,649.50
  4. Step 4: Simplify right side
    42,351.75x = 8,217,331,850.25
  5. Step 5: Solve for x
    x = 8,217,331,850.25/42,351.75
  6. Step 6: Final answer
    x = 194,025.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.