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Finding the Third Proportional to 51,520 and 108,670

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Solution

The third proportional to 51,520 and 108,670 is: 229,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,520 : 108,670 = 108,670 : x
  2. Step 2: Convert to fraction form
    51,520/108,670 = 108,670/x
  3. Step 3: Cross multiply
    51,520x = 108,670 × 108,670
  4. Step 4: Simplify right side
    51,520x = 11,809,168,900
  5. Step 5: Solve for x
    x = 11,809,168,900/51,520
  6. Step 6: Final answer
    x = 229,215.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.