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Finding the Third Proportional to 82,880.50 and 127,182.75

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Solution

The third proportional to 82,880.50 and 127,182.75 is: 195,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,880.50 : 127,182.75 = 127,182.75 : x
  2. Step 2: Convert to fraction form
    82,880.50/127,182.75 = 127,182.75/x
  3. Step 3: Cross multiply
    82,880.50x = 127,182.75 × 127,182.75
  4. Step 4: Simplify right side
    82,880.50x = 16,175,451,897.56
  5. Step 5: Solve for x
    x = 16,175,451,897.56/82,880.50
  6. Step 6: Final answer
    x = 195,165.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.