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Finding the Third Proportional to 61,758 and 133,041

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Solution

The third proportional to 61,758 and 133,041 is: 286,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,758 : 133,041 = 133,041 : x
  2. Step 2: Convert to fraction form
    61,758/133,041 = 133,041/x
  3. Step 3: Cross multiply
    61,758x = 133,041 × 133,041
  4. Step 4: Simplify right side
    61,758x = 17,699,907,681
  5. Step 5: Solve for x
    x = 17,699,907,681/61,758
  6. Step 6: Final answer
    x = 286,601.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.