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Finding the Third Proportional to 76,023.19 and 116,610.56

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Solution

The third proportional to 76,023.19 and 116,610.56 is: 178,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,023.19 : 116,610.56 = 116,610.56 : x
  2. Step 2: Convert to fraction form
    76,023.19/116,610.56 = 116,610.56/x
  3. Step 3: Cross multiply
    76,023.19x = 116,610.56 × 116,610.56
  4. Step 4: Simplify right side
    76,023.19x = 13,598,023,286.57
  5. Step 5: Solve for x
    x = 13,598,023,286.57/76,023.19
  6. Step 6: Final answer
    x = 178,866.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.