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Finding the Third Proportional to 49,250 and 101,404

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Solution

The third proportional to 49,250 and 101,404 is: 208,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,250 : 101,404 = 101,404 : x
  2. Step 2: Convert to fraction form
    49,250/101,404 = 101,404/x
  3. Step 3: Cross multiply
    49,250x = 101,404 × 101,404
  4. Step 4: Simplify right side
    49,250x = 10,282,771,216
  5. Step 5: Solve for x
    x = 10,282,771,216/49,250
  6. Step 6: Final answer
    x = 208,787.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.