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Finding the Third Proportional to 76,333.50 and 116,766.75

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Solution

The third proportional to 76,333.50 and 116,766.75 is: 178,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,333.50 : 116,766.75 = 116,766.75 : x
  2. Step 2: Convert to fraction form
    76,333.50/116,766.75 = 116,766.75/x
  3. Step 3: Cross multiply
    76,333.50x = 116,766.75 × 116,766.75
  4. Step 4: Simplify right side
    76,333.50x = 13,634,473,905.56
  5. Step 5: Solve for x
    x = 13,634,473,905.56/76,333.50
  6. Step 6: Final answer
    x = 178,617.17

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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.