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Finding the Third Proportional to 49,265 and 103,497

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Solution

The third proportional to 49,265 and 103,497 is: 217,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265 : 103,497 = 103,497 : x
  2. Step 2: Convert to fraction form
    49,265/103,497 = 103,497/x
  3. Step 3: Cross multiply
    49,265x = 103,497 × 103,497
  4. Step 4: Simplify right side
    49,265x = 10,711,629,009
  5. Step 5: Solve for x
    x = 10,711,629,009/49,265
  6. Step 6: Final answer
    x = 217,428.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.