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Finding the Third Proportional to 48,257 and 69,616

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Solution

The third proportional to 48,257 and 69,616 is: 100,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,257 : 69,616 = 69,616 : x
  2. Step 2: Convert to fraction form
    48,257/69,616 = 69,616/x
  3. Step 3: Cross multiply
    48,257x = 69,616 × 69,616
  4. Step 4: Simplify right side
    48,257x = 4,846,387,456
  5. Step 5: Solve for x
    x = 4,846,387,456/48,257
  6. Step 6: Final answer
    x = 100,428.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.