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Finding the Third Proportional to 51,000.75 and 79,165.13

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Solution

The third proportional to 51,000.75 and 79,165.13 is: 122,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000.75 : 79,165.13 = 79,165.13 : x
  2. Step 2: Convert to fraction form
    51,000.75/79,165.13 = 79,165.13/x
  3. Step 3: Cross multiply
    51,000.75x = 79,165.13 × 79,165.13
  4. Step 4: Simplify right side
    51,000.75x = 6,267,117,016.27
  5. Step 5: Solve for x
    x = 6,267,117,016.27/51,000.75
  6. Step 6: Final answer
    x = 122,882.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.