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Finding the Third Proportional to 45,063 and 104,319

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Solution

The third proportional to 45,063 and 104,319 is: 241,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,063 : 104,319 = 104,319 : x
  2. Step 2: Convert to fraction form
    45,063/104,319 = 104,319/x
  3. Step 3: Cross multiply
    45,063x = 104,319 × 104,319
  4. Step 4: Simplify right side
    45,063x = 10,882,453,761
  5. Step 5: Solve for x
    x = 10,882,453,761/45,063
  6. Step 6: Final answer
    x = 241,494.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.