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Finding the Third Proportional to 82,353.75 and 179,765.63

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Solution

The third proportional to 82,353.75 and 179,765.63 is: 392,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353.75 : 179,765.63 = 179,765.63 : x
  2. Step 2: Convert to fraction form
    82,353.75/179,765.63 = 179,765.63/x
  3. Step 3: Cross multiply
    82,353.75x = 179,765.63 × 179,765.63
  4. Step 4: Simplify right side
    82,353.75x = 32,315,679,931.64
  5. Step 5: Solve for x
    x = 32,315,679,931.64/82,353.75
  6. Step 6: Final answer
    x = 392,400.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.