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Finding the Third Proportional to 47,354 and 104,590

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Solution

The third proportional to 47,354 and 104,590 is: 231,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,354 : 104,590 = 104,590 : x
  2. Step 2: Convert to fraction form
    47,354/104,590 = 104,590/x
  3. Step 3: Cross multiply
    47,354x = 104,590 × 104,590
  4. Step 4: Simplify right side
    47,354x = 10,939,068,100
  5. Step 5: Solve for x
    x = 10,939,068,100/47,354
  6. Step 6: Final answer
    x = 231,006.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.