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Finding the Third Proportional to 47,598 and 104,536

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Solution

The third proportional to 47,598 and 104,536 is: 229,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,598 : 104,536 = 104,536 : x
  2. Step 2: Convert to fraction form
    47,598/104,536 = 104,536/x
  3. Step 3: Cross multiply
    47,598x = 104,536 × 104,536
  4. Step 4: Simplify right side
    47,598x = 10,927,775,296
  5. Step 5: Solve for x
    x = 10,927,775,296/47,598
  6. Step 6: Final answer
    x = 229,584.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.