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Finding the Third Proportional to 72,928 and 104,286

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Solution

The third proportional to 72,928 and 104,286 is: 149,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,928 : 104,286 = 104,286 : x
  2. Step 2: Convert to fraction form
    72,928/104,286 = 104,286/x
  3. Step 3: Cross multiply
    72,928x = 104,286 × 104,286
  4. Step 4: Simplify right side
    72,928x = 10,875,569,796
  5. Step 5: Solve for x
    x = 10,875,569,796/72,928
  6. Step 6: Final answer
    x = 149,127.49

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