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Finding the Third Proportional to 48,473 and 103,965

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Solution

The third proportional to 48,473 and 103,965 is: 222,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473 : 103,965 = 103,965 : x
  2. Step 2: Convert to fraction form
    48,473/103,965 = 103,965/x
  3. Step 3: Cross multiply
    48,473x = 103,965 × 103,965
  4. Step 4: Simplify right side
    48,473x = 10,808,721,225
  5. Step 5: Solve for x
    x = 10,808,721,225/48,473
  6. Step 6: Final answer
    x = 222,984.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.