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Finding the Third Proportional to 49,756 and 101,240

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Solution

The third proportional to 49,756 and 101,240 is: 205,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,756 : 101,240 = 101,240 : x
  2. Step 2: Convert to fraction form
    49,756/101,240 = 101,240/x
  3. Step 3: Cross multiply
    49,756x = 101,240 × 101,240
  4. Step 4: Simplify right side
    49,756x = 10,249,537,600
  5. Step 5: Solve for x
    x = 10,249,537,600/49,756
  6. Step 6: Final answer
    x = 205,996.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.