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Finding the Third Proportional to 58,942.69 and 128,319.19

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Solution

The third proportional to 58,942.69 and 128,319.19 is: 279,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,942.69 : 128,319.19 = 128,319.19 : x
  2. Step 2: Convert to fraction form
    58,942.69/128,319.19 = 128,319.19/x
  3. Step 3: Cross multiply
    58,942.69x = 128,319.19 × 128,319.19
  4. Step 4: Simplify right side
    58,942.69x = 16,465,813,880.66
  5. Step 5: Solve for x
    x = 16,465,813,880.66/58,942.69
  6. Step 6: Final answer
    x = 279,352.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.