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Finding the Third Proportional to 82,014.50 and 179,347

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Solution

The third proportional to 82,014.50 and 179,347 is: 392,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.50 : 179,347 = 179,347 : x
  2. Step 2: Convert to fraction form
    82,014.50/179,347 = 179,347/x
  3. Step 3: Cross multiply
    82,014.50x = 179,347 × 179,347
  4. Step 4: Simplify right side
    82,014.50x = 32,165,346,409
  5. Step 5: Solve for x
    x = 32,165,346,409/82,014.50
  6. Step 6: Final answer
    x = 392,190.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.