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Finding the Third Proportional to 72,950 and 104,317

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Solution

The third proportional to 72,950 and 104,317 is: 149,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,950 : 104,317 = 104,317 : x
  2. Step 2: Convert to fraction form
    72,950/104,317 = 104,317/x
  3. Step 3: Cross multiply
    72,950x = 104,317 × 104,317
  4. Step 4: Simplify right side
    72,950x = 10,882,036,489
  5. Step 5: Solve for x
    x = 10,882,036,489/72,950
  6. Step 6: Final answer
    x = 149,171.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.