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Finding the Third Proportional to 32,751 and 70,171.31

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Solution

The third proportional to 32,751 and 70,171.31 is: 150,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751 : 70,171.31 = 70,171.31 : x
  2. Step 2: Convert to fraction form
    32,751/70,171.31 = 70,171.31/x
  3. Step 3: Cross multiply
    32,751x = 70,171.31 × 70,171.31
  4. Step 4: Simplify right side
    32,751x = 4,924,013,097.97
  5. Step 5: Solve for x
    x = 4,924,013,097.97/32,751
  6. Step 6: Final answer
    x = 150,346.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.