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Finding the Third Proportional to 49,102 and 105,720

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Solution

The third proportional to 49,102 and 105,720 is: 227,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102 : 105,720 = 105,720 : x
  2. Step 2: Convert to fraction form
    49,102/105,720 = 105,720/x
  3. Step 3: Cross multiply
    49,102x = 105,720 × 105,720
  4. Step 4: Simplify right side
    49,102x = 11,176,718,400
  5. Step 5: Solve for x
    x = 11,176,718,400/49,102
  6. Step 6: Final answer
    x = 227,622.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.