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Finding the Third Proportional to 35,057 and 78,894

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Solution

The third proportional to 35,057 and 78,894 is: 177,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,057 : 78,894 = 78,894 : x
  2. Step 2: Convert to fraction form
    35,057/78,894 = 78,894/x
  3. Step 3: Cross multiply
    35,057x = 78,894 × 78,894
  4. Step 4: Simplify right side
    35,057x = 6,224,263,236
  5. Step 5: Solve for x
    x = 6,224,263,236/35,057
  6. Step 6: Final answer
    x = 177,546.94

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.