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Finding the Third Proportional to 71,180.25 and 144,405.75

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Solution

The third proportional to 71,180.25 and 144,405.75 is: 292,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,180.25 : 144,405.75 = 144,405.75 : x
  2. Step 2: Convert to fraction form
    71,180.25/144,405.75 = 144,405.75/x
  3. Step 3: Cross multiply
    71,180.25x = 144,405.75 × 144,405.75
  4. Step 4: Simplify right side
    71,180.25x = 20,853,020,633.06
  5. Step 5: Solve for x
    x = 20,853,020,633.06/71,180.25
  6. Step 6: Final answer
    x = 292,960.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.