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Finding the Third Proportional to 49,461 and 100,650

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Solution

The third proportional to 49,461 and 100,650 is: 204,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,461 : 100,650 = 100,650 : x
  2. Step 2: Convert to fraction form
    49,461/100,650 = 100,650/x
  3. Step 3: Cross multiply
    49,461x = 100,650 × 100,650
  4. Step 4: Simplify right side
    49,461x = 10,130,422,500
  5. Step 5: Solve for x
    x = 10,130,422,500/49,461
  6. Step 6: Final answer
    x = 204,816.37

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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.