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Finding the Third Proportional to 42,831 and 68,206.50

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Solution

The third proportional to 42,831 and 68,206.50 is: 108,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,831 : 68,206.50 = 68,206.50 : x
  2. Step 2: Convert to fraction form
    42,831/68,206.50 = 68,206.50/x
  3. Step 3: Cross multiply
    42,831x = 68,206.50 × 68,206.50
  4. Step 4: Simplify right side
    42,831x = 4,652,126,642.25
  5. Step 5: Solve for x
    x = 4,652,126,642.25/42,831
  6. Step 6: Final answer
    x = 108,615.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.