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Finding the Third Proportional to 71,331 and 150,619.50

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Solution

The third proportional to 71,331 and 150,619.50 is: 318,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,331 : 150,619.50 = 150,619.50 : x
  2. Step 2: Convert to fraction form
    71,331/150,619.50 = 150,619.50/x
  3. Step 3: Cross multiply
    71,331x = 150,619.50 × 150,619.50
  4. Step 4: Simplify right side
    71,331x = 22,686,233,780.25
  5. Step 5: Solve for x
    x = 22,686,233,780.25/71,331
  6. Step 6: Final answer
    x = 318,041.72

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.