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Finding the Third Proportional to 45,474 and 106,213

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Solution

The third proportional to 45,474 and 106,213 is: 248,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,474 : 106,213 = 106,213 : x
  2. Step 2: Convert to fraction form
    45,474/106,213 = 106,213/x
  3. Step 3: Cross multiply
    45,474x = 106,213 × 106,213
  4. Step 4: Simplify right side
    45,474x = 11,281,201,369
  5. Step 5: Solve for x
    x = 11,281,201,369/45,474
  6. Step 6: Final answer
    x = 248,080.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.