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Finding the Third Proportional to 47,709 and 103,616

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Solution

The third proportional to 47,709 and 103,616 is: 225,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 103,616 = 103,616 : x
  2. Step 2: Convert to fraction form
    47,709/103,616 = 103,616/x
  3. Step 3: Cross multiply
    47,709x = 103,616 × 103,616
  4. Step 4: Simplify right side
    47,709x = 10,736,275,456
  5. Step 5: Solve for x
    x = 10,736,275,456/47,709
  6. Step 6: Final answer
    x = 225,036.69

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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.