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Finding the Third Proportional to 49,352 and 100,536

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Solution

The third proportional to 49,352 and 100,536 is: 204,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,352 : 100,536 = 100,536 : x
  2. Step 2: Convert to fraction form
    49,352/100,536 = 100,536/x
  3. Step 3: Cross multiply
    49,352x = 100,536 × 100,536
  4. Step 4: Simplify right side
    49,352x = 10,107,487,296
  5. Step 5: Solve for x
    x = 10,107,487,296/49,352
  6. Step 6: Final answer
    x = 204,804.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.