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Finding the Third Proportional to 46,067 and 100,473

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Solution

The third proportional to 46,067 and 100,473 is: 219,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,067 : 100,473 = 100,473 : x
  2. Step 2: Convert to fraction form
    46,067/100,473 = 100,473/x
  3. Step 3: Cross multiply
    46,067x = 100,473 × 100,473
  4. Step 4: Simplify right side
    46,067x = 10,094,823,729
  5. Step 5: Solve for x
    x = 10,094,823,729/46,067
  6. Step 6: Final answer
    x = 219,133.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.