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Finding the Third Proportional to 46,057 and 95,394

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Solution

The third proportional to 46,057 and 95,394 is: 197,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,057 : 95,394 = 95,394 : x
  2. Step 2: Convert to fraction form
    46,057/95,394 = 95,394/x
  3. Step 3: Cross multiply
    46,057x = 95,394 × 95,394
  4. Step 4: Simplify right side
    46,057x = 9,100,015,236
  5. Step 5: Solve for x
    x = 9,100,015,236/46,057
  6. Step 6: Final answer
    x = 197,581.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.