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Finding the Third Proportional to 39,912 and 83,960

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Solution

The third proportional to 39,912 and 83,960 is: 176,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,912 : 83,960 = 83,960 : x
  2. Step 2: Convert to fraction form
    39,912/83,960 = 83,960/x
  3. Step 3: Cross multiply
    39,912x = 83,960 × 83,960
  4. Step 4: Simplify right side
    39,912x = 7,049,281,600
  5. Step 5: Solve for x
    x = 7,049,281,600/39,912
  6. Step 6: Final answer
    x = 176,620.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.