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Finding the Third Proportional to 34,196 and 74,296

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Solution

The third proportional to 34,196 and 74,296 is: 161,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196 : 74,296 = 74,296 : x
  2. Step 2: Convert to fraction form
    34,196/74,296 = 74,296/x
  3. Step 3: Cross multiply
    34,196x = 74,296 × 74,296
  4. Step 4: Simplify right side
    34,196x = 5,519,895,616
  5. Step 5: Solve for x
    x = 5,519,895,616/34,196
  6. Step 6: Final answer
    x = 161,419.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.