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Finding the Third Proportional to 49,196 and 106,546

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Solution

The third proportional to 49,196 and 106,546 is: 230,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196 : 106,546 = 106,546 : x
  2. Step 2: Convert to fraction form
    49,196/106,546 = 106,546/x
  3. Step 3: Cross multiply
    49,196x = 106,546 × 106,546
  4. Step 4: Simplify right side
    49,196x = 11,352,050,116
  5. Step 5: Solve for x
    x = 11,352,050,116/49,196
  6. Step 6: Final answer
    x = 230,751.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.