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Finding the Third Proportional to 64,954 and 140,270

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Solution

The third proportional to 64,954 and 140,270 is: 302,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,954 : 140,270 = 140,270 : x
  2. Step 2: Convert to fraction form
    64,954/140,270 = 140,270/x
  3. Step 3: Cross multiply
    64,954x = 140,270 × 140,270
  4. Step 4: Simplify right side
    64,954x = 19,675,672,900
  5. Step 5: Solve for x
    x = 19,675,672,900/64,954
  6. Step 6: Final answer
    x = 302,917.03

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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.