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Finding the Third Proportional to 72,239.63 and 95,880.38

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Solution

The third proportional to 72,239.63 and 95,880.38 is: 127,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,239.63 : 95,880.38 = 95,880.38 : x
  2. Step 2: Convert to fraction form
    72,239.63/95,880.38 = 95,880.38/x
  3. Step 3: Cross multiply
    72,239.63x = 95,880.38 × 95,880.38
  4. Step 4: Simplify right side
    72,239.63x = 9,193,046,310.14
  5. Step 5: Solve for x
    x = 9,193,046,310.14/72,239.63
  6. Step 6: Final answer
    x = 127,257.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.