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Finding the Third Proportional to 59,826.94 and 93,863.81

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Solution

The third proportional to 59,826.94 and 93,863.81 is: 147,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,826.94 : 93,863.81 = 93,863.81 : x
  2. Step 2: Convert to fraction form
    59,826.94/93,863.81 = 93,863.81/x
  3. Step 3: Cross multiply
    59,826.94x = 93,863.81 × 93,863.81
  4. Step 4: Simplify right side
    59,826.94x = 8,810,415,297.04
  5. Step 5: Solve for x
    x = 8,810,415,297.04/59,826.94
  6. Step 6: Final answer
    x = 147,265.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.