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Finding the Third Proportional to 46,930 and 101,252

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Solution

The third proportional to 46,930 and 101,252 is: 218,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,930 : 101,252 = 101,252 : x
  2. Step 2: Convert to fraction form
    46,930/101,252 = 101,252/x
  3. Step 3: Cross multiply
    46,930x = 101,252 × 101,252
  4. Step 4: Simplify right side
    46,930x = 10,251,967,504
  5. Step 5: Solve for x
    x = 10,251,967,504/46,930
  6. Step 6: Final answer
    x = 218,452.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.