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Finding the Third Proportional to 47,590 and 102,488

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Solution

The third proportional to 47,590 and 102,488 is: 220,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,590 : 102,488 = 102,488 : x
  2. Step 2: Convert to fraction form
    47,590/102,488 = 102,488/x
  3. Step 3: Cross multiply
    47,590x = 102,488 × 102,488
  4. Step 4: Simplify right side
    47,590x = 10,503,790,144
  5. Step 5: Solve for x
    x = 10,503,790,144/47,590
  6. Step 6: Final answer
    x = 220,714.23

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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.