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Finding the Third Proportional to 49,022 and 106,348

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Solution

The third proportional to 49,022 and 106,348 is: 230,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,022 : 106,348 = 106,348 : x
  2. Step 2: Convert to fraction form
    49,022/106,348 = 106,348/x
  3. Step 3: Cross multiply
    49,022x = 106,348 × 106,348
  4. Step 4: Simplify right side
    49,022x = 11,309,897,104
  5. Step 5: Solve for x
    x = 11,309,897,104/49,022
  6. Step 6: Final answer
    x = 230,710.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.