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Finding the Third Proportional to 34,212 and 74,958

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Solution

The third proportional to 34,212 and 74,958 is: 164,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,212 : 74,958 = 74,958 : x
  2. Step 2: Convert to fraction form
    34,212/74,958 = 74,958/x
  3. Step 3: Cross multiply
    34,212x = 74,958 × 74,958
  4. Step 4: Simplify right side
    34,212x = 5,618,701,764
  5. Step 5: Solve for x
    x = 5,618,701,764/34,212
  6. Step 6: Final answer
    x = 164,231.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.