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Finding the Third Proportional to 71,796 and 111,794

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Solution

The third proportional to 71,796 and 111,794 is: 174,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796 : 111,794 = 111,794 : x
  2. Step 2: Convert to fraction form
    71,796/111,794 = 111,794/x
  3. Step 3: Cross multiply
    71,796x = 111,794 × 111,794
  4. Step 4: Simplify right side
    71,796x = 12,497,898,436
  5. Step 5: Solve for x
    x = 12,497,898,436/71,796
  6. Step 6: Final answer
    x = 174,075.14

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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.