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Finding the Third Proportional to 71,576 and 107,320

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Solution

The third proportional to 71,576 and 107,320 is: 160,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,576 : 107,320 = 107,320 : x
  2. Step 2: Convert to fraction form
    71,576/107,320 = 107,320/x
  3. Step 3: Cross multiply
    71,576x = 107,320 × 107,320
  4. Step 4: Simplify right side
    71,576x = 11,517,582,400
  5. Step 5: Solve for x
    x = 11,517,582,400/71,576
  6. Step 6: Final answer
    x = 160,914.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.