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Finding the Third Proportional to 101,929 and 146,819

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Solution

The third proportional to 101,929 and 146,819 is: 211,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,929 : 146,819 = 146,819 : x
  2. Step 2: Convert to fraction form
    101,929/146,819 = 146,819/x
  3. Step 3: Cross multiply
    101,929x = 146,819 × 146,819
  4. Step 4: Simplify right side
    101,929x = 21,555,818,761
  5. Step 5: Solve for x
    x = 21,555,818,761/101,929
  6. Step 6: Final answer
    x = 211,478.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.