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Finding the Third Proportional to 117,997.50 and 186,936

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Solution

The third proportional to 117,997.50 and 186,936 is: 296,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,997.50 : 186,936 = 186,936 : x
  2. Step 2: Convert to fraction form
    117,997.50/186,936 = 186,936/x
  3. Step 3: Cross multiply
    117,997.50x = 186,936 × 186,936
  4. Step 4: Simplify right side
    117,997.50x = 34,945,068,096
  5. Step 5: Solve for x
    x = 34,945,068,096/117,997.50
  6. Step 6: Final answer
    x = 296,150.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.