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Finding the Third Proportional to 81,702.42 and 176,310.42

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Solution

The third proportional to 81,702.42 and 176,310.42 is: 380,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.42 : 176,310.42 = 176,310.42 : x
  2. Step 2: Convert to fraction form
    81,702.42/176,310.42 = 176,310.42/x
  3. Step 3: Cross multiply
    81,702.42x = 176,310.42 × 176,310.42
  4. Step 4: Simplify right side
    81,702.42x = 31,085,364,861.74
  5. Step 5: Solve for x
    x = 31,085,364,861.74/81,702.42
  6. Step 6: Final answer
    x = 380,470.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.