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Finding the Third Proportional to 61,134.75 and 133,022.25

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Solution

The third proportional to 61,134.75 and 133,022.25 is: 289,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,134.75 : 133,022.25 = 133,022.25 : x
  2. Step 2: Convert to fraction form
    61,134.75/133,022.25 = 133,022.25/x
  3. Step 3: Cross multiply
    61,134.75x = 133,022.25 × 133,022.25
  4. Step 4: Simplify right side
    61,134.75x = 17,694,918,995.06
  5. Step 5: Solve for x
    x = 17,694,918,995.06/61,134.75
  6. Step 6: Final answer
    x = 289,441.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.