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Finding the Third Proportional to 64,050.38 and 102,321.56

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Solution

The third proportional to 64,050.38 and 102,321.56 is: 163,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050.38 : 102,321.56 = 102,321.56 : x
  2. Step 2: Convert to fraction form
    64,050.38/102,321.56 = 102,321.56/x
  3. Step 3: Cross multiply
    64,050.38x = 102,321.56 × 102,321.56
  4. Step 4: Simplify right side
    64,050.38x = 10,469,702,152.44
  5. Step 5: Solve for x
    x = 10,469,702,152.44/64,050.38
  6. Step 6: Final answer
    x = 163,460.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.