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Finding the Third Proportional to 71,661.50 and 100,229

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Solution

The third proportional to 71,661.50 and 100,229 is: 140,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.50 : 100,229 = 100,229 : x
  2. Step 2: Convert to fraction form
    71,661.50/100,229 = 100,229/x
  3. Step 3: Cross multiply
    71,661.50x = 100,229 × 100,229
  4. Step 4: Simplify right side
    71,661.50x = 10,045,852,441
  5. Step 5: Solve for x
    x = 10,045,852,441/71,661.50
  6. Step 6: Final answer
    x = 140,184.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.