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Finding the Third Proportional to 49,419 and 105,102

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Solution

The third proportional to 49,419 and 105,102 is: 223,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,419 : 105,102 = 105,102 : x
  2. Step 2: Convert to fraction form
    49,419/105,102 = 105,102/x
  3. Step 3: Cross multiply
    49,419x = 105,102 × 105,102
  4. Step 4: Simplify right side
    49,419x = 11,046,430,404
  5. Step 5: Solve for x
    x = 11,046,430,404/49,419
  6. Step 6: Final answer
    x = 223,525.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.