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Finding the Third Proportional to 61,947 and 135,756

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Solution

The third proportional to 61,947 and 135,756 is: 297,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,947 : 135,756 = 135,756 : x
  2. Step 2: Convert to fraction form
    61,947/135,756 = 135,756/x
  3. Step 3: Cross multiply
    61,947x = 135,756 × 135,756
  4. Step 4: Simplify right side
    61,947x = 18,429,691,536
  5. Step 5: Solve for x
    x = 18,429,691,536/61,947
  6. Step 6: Final answer
    x = 297,507.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.