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Finding the Third Proportional to 64,928.75 and 101,493.75

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Solution

The third proportional to 64,928.75 and 101,493.75 is: 158,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,928.75 : 101,493.75 = 101,493.75 : x
  2. Step 2: Convert to fraction form
    64,928.75/101,493.75 = 101,493.75/x
  3. Step 3: Cross multiply
    64,928.75x = 101,493.75 × 101,493.75
  4. Step 4: Simplify right side
    64,928.75x = 10,300,981,289.06
  5. Step 5: Solve for x
    x = 10,300,981,289.06/64,928.75
  6. Step 6: Final answer
    x = 158,650.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.