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Finding the Third Proportional to 61,765 and 134,825

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Solution

The third proportional to 61,765 and 134,825 is: 294,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,765 : 134,825 = 134,825 : x
  2. Step 2: Convert to fraction form
    61,765/134,825 = 134,825/x
  3. Step 3: Cross multiply
    61,765x = 134,825 × 134,825
  4. Step 4: Simplify right side
    61,765x = 18,177,780,625
  5. Step 5: Solve for x
    x = 18,177,780,625/61,765
  6. Step 6: Final answer
    x = 294,305.52

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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.