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Finding the Third Proportional to 77,825.81 and 116,739.56

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Solution

The third proportional to 77,825.81 and 116,739.56 is: 175,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,825.81 : 116,739.56 = 116,739.56 : x
  2. Step 2: Convert to fraction form
    77,825.81/116,739.56 = 116,739.56/x
  3. Step 3: Cross multiply
    77,825.81x = 116,739.56 × 116,739.56
  4. Step 4: Simplify right side
    77,825.81x = 13,628,125,452.69
  5. Step 5: Solve for x
    x = 13,628,125,452.69/77,825.81
  6. Step 6: Final answer
    x = 175,110.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.