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Finding the Third Proportional to 133,930 and 183,643

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Solution

The third proportional to 133,930 and 183,643 is: 251,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,930 : 183,643 = 183,643 : x
  2. Step 2: Convert to fraction form
    133,930/183,643 = 183,643/x
  3. Step 3: Cross multiply
    133,930x = 183,643 × 183,643
  4. Step 4: Simplify right side
    133,930x = 33,724,751,449
  5. Step 5: Solve for x
    x = 33,724,751,449/133,930
  6. Step 6: Final answer
    x = 251,808.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.