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Finding the Third Proportional to 96,255 and 131,179.50

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Solution

The third proportional to 96,255 and 131,179.50 is: 178,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,255 : 131,179.50 = 131,179.50 : x
  2. Step 2: Convert to fraction form
    96,255/131,179.50 = 131,179.50/x
  3. Step 3: Cross multiply
    96,255x = 131,179.50 × 131,179.50
  4. Step 4: Simplify right side
    96,255x = 17,208,061,220.25
  5. Step 5: Solve for x
    x = 17,208,061,220.25/96,255
  6. Step 6: Final answer
    x = 178,775.76

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.