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Finding the Third Proportional to 62,057 and 133,954

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Solution

The third proportional to 62,057 and 133,954 is: 289,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,057 : 133,954 = 133,954 : x
  2. Step 2: Convert to fraction form
    62,057/133,954 = 133,954/x
  3. Step 3: Cross multiply
    62,057x = 133,954 × 133,954
  4. Step 4: Simplify right side
    62,057x = 17,943,674,116
  5. Step 5: Solve for x
    x = 17,943,674,116/62,057
  6. Step 6: Final answer
    x = 289,148.27

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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.