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Finding the Third Proportional to 95,886 and 146,657.25

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Solution

The third proportional to 95,886 and 146,657.25 is: 224,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,886 : 146,657.25 = 146,657.25 : x
  2. Step 2: Convert to fraction form
    95,886/146,657.25 = 146,657.25/x
  3. Step 3: Cross multiply
    95,886x = 146,657.25 × 146,657.25
  4. Step 4: Simplify right side
    95,886x = 21,508,348,977.56
  5. Step 5: Solve for x
    x = 21,508,348,977.56/95,886
  6. Step 6: Final answer
    x = 224,311.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.