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Finding the Third Proportional to 80,453.25 and 95,276.25

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Solution

The third proportional to 80,453.25 and 95,276.25 is: 112,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,453.25 : 95,276.25 = 95,276.25 : x
  2. Step 2: Convert to fraction form
    80,453.25/95,276.25 = 95,276.25/x
  3. Step 3: Cross multiply
    80,453.25x = 95,276.25 × 95,276.25
  4. Step 4: Simplify right side
    80,453.25x = 9,077,563,814.06
  5. Step 5: Solve for x
    x = 9,077,563,814.06/80,453.25
  6. Step 6: Final answer
    x = 112,830.29

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.