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Finding the Third Proportional to 47,929 and 102,797

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Solution

The third proportional to 47,929 and 102,797 is: 220,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,929 : 102,797 = 102,797 : x
  2. Step 2: Convert to fraction form
    47,929/102,797 = 102,797/x
  3. Step 3: Cross multiply
    47,929x = 102,797 × 102,797
  4. Step 4: Simplify right side
    47,929x = 10,567,223,209
  5. Step 5: Solve for x
    x = 10,567,223,209/47,929
  6. Step 6: Final answer
    x = 220,476.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.