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Finding the Third Proportional to 48,754 and 103,659

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Solution

The third proportional to 48,754 and 103,659 is: 220,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,754 : 103,659 = 103,659 : x
  2. Step 2: Convert to fraction form
    48,754/103,659 = 103,659/x
  3. Step 3: Cross multiply
    48,754x = 103,659 × 103,659
  4. Step 4: Simplify right side
    48,754x = 10,745,188,281
  5. Step 5: Solve for x
    x = 10,745,188,281/48,754
  6. Step 6: Final answer
    x = 220,396.03

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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.