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Finding the Third Proportional to 48,709 and 103,694

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Solution

The third proportional to 48,709 and 103,694 is: 220,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709 : 103,694 = 103,694 : x
  2. Step 2: Convert to fraction form
    48,709/103,694 = 103,694/x
  3. Step 3: Cross multiply
    48,709x = 103,694 × 103,694
  4. Step 4: Simplify right side
    48,709x = 10,752,445,636
  5. Step 5: Solve for x
    x = 10,752,445,636/48,709
  6. Step 6: Final answer
    x = 220,748.64

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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.