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Finding the Third Proportional to 46,950 and 100,732

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Solution

The third proportional to 46,950 and 100,732 is: 216,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,950 : 100,732 = 100,732 : x
  2. Step 2: Convert to fraction form
    46,950/100,732 = 100,732/x
  3. Step 3: Cross multiply
    46,950x = 100,732 × 100,732
  4. Step 4: Simplify right side
    46,950x = 10,146,935,824
  5. Step 5: Solve for x
    x = 10,146,935,824/46,950
  6. Step 6: Final answer
    x = 216,122.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.