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Finding the Third Proportional to 49,637 and 106,200

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Solution

The third proportional to 49,637 and 106,200 is: 227,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,637 : 106,200 = 106,200 : x
  2. Step 2: Convert to fraction form
    49,637/106,200 = 106,200/x
  3. Step 3: Cross multiply
    49,637x = 106,200 × 106,200
  4. Step 4: Simplify right side
    49,637x = 11,278,440,000
  5. Step 5: Solve for x
    x = 11,278,440,000/49,637
  6. Step 6: Final answer
    x = 227,218.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.