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Finding the Third Proportional to 71,296 and 110,886

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Solution

The third proportional to 71,296 and 110,886 is: 172,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296 : 110,886 = 110,886 : x
  2. Step 2: Convert to fraction form
    71,296/110,886 = 110,886/x
  3. Step 3: Cross multiply
    71,296x = 110,886 × 110,886
  4. Step 4: Simplify right side
    71,296x = 12,295,704,996
  5. Step 5: Solve for x
    x = 12,295,704,996/71,296
  6. Step 6: Final answer
    x = 172,459.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.