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Finding the Third Proportional to 46,523 and 100,927

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Solution

The third proportional to 46,523 and 100,927 is: 218,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,523 : 100,927 = 100,927 : x
  2. Step 2: Convert to fraction form
    46,523/100,927 = 100,927/x
  3. Step 3: Cross multiply
    46,523x = 100,927 × 100,927
  4. Step 4: Simplify right side
    46,523x = 10,186,259,329
  5. Step 5: Solve for x
    x = 10,186,259,329/46,523
  6. Step 6: Final answer
    x = 218,951.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.