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Finding the Third Proportional to 46,834 and 100,252

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Solution

The third proportional to 46,834 and 100,252 is: 214,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,834 : 100,252 = 100,252 : x
  2. Step 2: Convert to fraction form
    46,834/100,252 = 100,252/x
  3. Step 3: Cross multiply
    46,834x = 100,252 × 100,252
  4. Step 4: Simplify right side
    46,834x = 10,050,463,504
  5. Step 5: Solve for x
    x = 10,050,463,504/46,834
  6. Step 6: Final answer
    x = 214,597.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.