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Finding the Third Proportional to 76,761.75 and 116,334.75

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Solution

The third proportional to 76,761.75 and 116,334.75 is: 176,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761.75 : 116,334.75 = 116,334.75 : x
  2. Step 2: Convert to fraction form
    76,761.75/116,334.75 = 116,334.75/x
  3. Step 3: Cross multiply
    76,761.75x = 116,334.75 × 116,334.75
  4. Step 4: Simplify right side
    76,761.75x = 13,533,774,057.56
  5. Step 5: Solve for x
    x = 13,533,774,057.56/76,761.75
  6. Step 6: Final answer
    x = 176,308.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.