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Finding the Third Proportional to 34,299 and 74,214

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Solution

The third proportional to 34,299 and 74,214 is: 160,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,299 : 74,214 = 74,214 : x
  2. Step 2: Convert to fraction form
    34,299/74,214 = 74,214/x
  3. Step 3: Cross multiply
    34,299x = 74,214 × 74,214
  4. Step 4: Simplify right side
    34,299x = 5,507,717,796
  5. Step 5: Solve for x
    x = 5,507,717,796/34,299
  6. Step 6: Final answer
    x = 160,579.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.