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Finding the Third Proportional to 51,837.50 and 95,888

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Solution

The third proportional to 51,837.50 and 95,888 is: 177,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,837.50 : 95,888 = 95,888 : x
  2. Step 2: Convert to fraction form
    51,837.50/95,888 = 95,888/x
  3. Step 3: Cross multiply
    51,837.50x = 95,888 × 95,888
  4. Step 4: Simplify right side
    51,837.50x = 9,194,508,544
  5. Step 5: Solve for x
    x = 9,194,508,544/51,837.50
  6. Step 6: Final answer
    x = 177,371.76

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.