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Finding the Third Proportional to 80,385.75 and 127,176.75

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Solution

The third proportional to 80,385.75 and 127,176.75 is: 201,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,385.75 : 127,176.75 = 127,176.75 : x
  2. Step 2: Convert to fraction form
    80,385.75/127,176.75 = 127,176.75/x
  3. Step 3: Cross multiply
    80,385.75x = 127,176.75 × 127,176.75
  4. Step 4: Simplify right side
    80,385.75x = 16,173,925,740.56
  5. Step 5: Solve for x
    x = 16,173,925,740.56/80,385.75
  6. Step 6: Final answer
    x = 201,203.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.