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Finding the Third Proportional to 76,659.75 and 107,423.25

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Solution

The third proportional to 76,659.75 and 107,423.25 is: 150,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,659.75 : 107,423.25 = 107,423.25 : x
  2. Step 2: Convert to fraction form
    76,659.75/107,423.25 = 107,423.25/x
  3. Step 3: Cross multiply
    76,659.75x = 107,423.25 × 107,423.25
  4. Step 4: Simplify right side
    76,659.75x = 11,539,754,640.56
  5. Step 5: Solve for x
    x = 11,539,754,640.56/76,659.75
  6. Step 6: Final answer
    x = 150,532.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.