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Finding the Third Proportional to 130,077.75 and 263,743.69

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Solution

The third proportional to 130,077.75 and 263,743.69 is: 534,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,077.75 : 263,743.69 = 263,743.69 : x
  2. Step 2: Convert to fraction form
    130,077.75/263,743.69 = 263,743.69/x
  3. Step 3: Cross multiply
    130,077.75x = 263,743.69 × 263,743.69
  4. Step 4: Simplify right side
    130,077.75x = 69,560,732,696.10
  5. Step 5: Solve for x
    x = 69,560,732,696.10/130,077.75
  6. Step 6: Final answer
    x = 534,762.73

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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.