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Finding the Third Proportional to 34,351 and 71,333

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Solution

The third proportional to 34,351 and 71,333 is: 148,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,351 : 71,333 = 71,333 : x
  2. Step 2: Convert to fraction form
    34,351/71,333 = 71,333/x
  3. Step 3: Cross multiply
    34,351x = 71,333 × 71,333
  4. Step 4: Simplify right side
    34,351x = 5,088,396,889
  5. Step 5: Solve for x
    x = 5,088,396,889/34,351
  6. Step 6: Final answer
    x = 148,129.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.