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Finding the Third Proportional to 64,805.06 and 150,120.84

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Solution

The third proportional to 64,805.06 and 150,120.84 is: 347,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,805.06 : 150,120.84 = 150,120.84 : x
  2. Step 2: Convert to fraction form
    64,805.06/150,120.84 = 150,120.84/x
  3. Step 3: Cross multiply
    64,805.06x = 150,120.84 × 150,120.84
  4. Step 4: Simplify right side
    64,805.06x = 22,536,267,728.21
  5. Step 5: Solve for x
    x = 22,536,267,728.21/64,805.06
  6. Step 6: Final answer
    x = 347,754.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.