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Finding the Third Proportional to 59,140.75 and 135,731.75

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Solution

The third proportional to 59,140.75 and 135,731.75 is: 311,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,140.75 : 135,731.75 = 135,731.75 : x
  2. Step 2: Convert to fraction form
    59,140.75/135,731.75 = 135,731.75/x
  3. Step 3: Cross multiply
    59,140.75x = 135,731.75 × 135,731.75
  4. Step 4: Simplify right side
    59,140.75x = 18,423,107,958.06
  5. Step 5: Solve for x
    x = 18,423,107,958.06/59,140.75
  6. Step 6: Final answer
    x = 311,512.92

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.