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Finding the Third Proportional to 82,236 and 123,353

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Solution

The third proportional to 82,236 and 123,353 is: 185,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,236 : 123,353 = 123,353 : x
  2. Step 2: Convert to fraction form
    82,236/123,353 = 123,353/x
  3. Step 3: Cross multiply
    82,236x = 123,353 × 123,353
  4. Step 4: Simplify right side
    82,236x = 15,215,962,609
  5. Step 5: Solve for x
    x = 15,215,962,609/82,236
  6. Step 6: Final answer
    x = 185,028.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.