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Finding the Third Proportional to 95,896.50 and 146,764.50

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Solution

The third proportional to 95,896.50 and 146,764.50 is: 224,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896.50 : 146,764.50 = 146,764.50 : x
  2. Step 2: Convert to fraction form
    95,896.50/146,764.50 = 146,764.50/x
  3. Step 3: Cross multiply
    95,896.50x = 146,764.50 × 146,764.50
  4. Step 4: Simplify right side
    95,896.50x = 21,539,818,460.25
  5. Step 5: Solve for x
    x = 21,539,818,460.25/95,896.50
  6. Step 6: Final answer
    x = 224,615.27

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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.