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Finding the Third Proportional to 71,504 and 153,970

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Solution

The third proportional to 71,504 and 153,970 is: 331,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,504 : 153,970 = 153,970 : x
  2. Step 2: Convert to fraction form
    71,504/153,970 = 153,970/x
  3. Step 3: Cross multiply
    71,504x = 153,970 × 153,970
  4. Step 4: Simplify right side
    71,504x = 23,706,760,900
  5. Step 5: Solve for x
    x = 23,706,760,900/71,504
  6. Step 6: Final answer
    x = 331,544.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.