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Finding the Third Proportional to 71,954 and 146,762

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Solution

The third proportional to 71,954 and 146,762 is: 299,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954 : 146,762 = 146,762 : x
  2. Step 2: Convert to fraction form
    71,954/146,762 = 146,762/x
  3. Step 3: Cross multiply
    71,954x = 146,762 × 146,762
  4. Step 4: Simplify right side
    71,954x = 21,539,084,644
  5. Step 5: Solve for x
    x = 21,539,084,644/71,954
  6. Step 6: Final answer
    x = 299,345.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.