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Finding the Third Proportional to 59,928 and 129,072

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Solution

The third proportional to 59,928 and 129,072 is: 277,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,928 : 129,072 = 129,072 : x
  2. Step 2: Convert to fraction form
    59,928/129,072 = 129,072/x
  3. Step 3: Cross multiply
    59,928x = 129,072 × 129,072
  4. Step 4: Simplify right side
    59,928x = 16,659,581,184
  5. Step 5: Solve for x
    x = 16,659,581,184/59,928
  6. Step 6: Final answer
    x = 277,993.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.