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Finding the Third Proportional to 59,942 and 129,100

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Solution

The third proportional to 59,942 and 129,100 is: 278,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,942 : 129,100 = 129,100 : x
  2. Step 2: Convert to fraction form
    59,942/129,100 = 129,100/x
  3. Step 3: Cross multiply
    59,942x = 129,100 × 129,100
  4. Step 4: Simplify right side
    59,942x = 16,666,810,000
  5. Step 5: Solve for x
    x = 16,666,810,000/59,942
  6. Step 6: Final answer
    x = 278,048.95

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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.