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Finding the Third Proportional to 76,959.75 and 111,360

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Solution

The third proportional to 76,959.75 and 111,360 is: 161,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,959.75 : 111,360 = 111,360 : x
  2. Step 2: Convert to fraction form
    76,959.75/111,360 = 111,360/x
  3. Step 3: Cross multiply
    76,959.75x = 111,360 × 111,360
  4. Step 4: Simplify right side
    76,959.75x = 12,401,049,600
  5. Step 5: Solve for x
    x = 12,401,049,600/76,959.75
  6. Step 6: Final answer
    x = 161,136.82

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.