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Finding the Third Proportional to 45,054 and 104,410

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Solution

The third proportional to 45,054 and 104,410 is: 241,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,054 : 104,410 = 104,410 : x
  2. Step 2: Convert to fraction form
    45,054/104,410 = 104,410/x
  3. Step 3: Cross multiply
    45,054x = 104,410 × 104,410
  4. Step 4: Simplify right side
    45,054x = 10,901,448,100
  5. Step 5: Solve for x
    x = 10,901,448,100/45,054
  6. Step 6: Final answer
    x = 241,964.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.