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Finding the Third Proportional to 51,000.25 and 79,164.38

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Solution

The third proportional to 51,000.25 and 79,164.38 is: 122,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000.25 : 79,164.38 = 79,164.38 : x
  2. Step 2: Convert to fraction form
    51,000.25/79,164.38 = 79,164.38/x
  3. Step 3: Cross multiply
    51,000.25x = 79,164.38 × 79,164.38
  4. Step 4: Simplify right side
    51,000.25x = 6,266,998,269.14
  5. Step 5: Solve for x
    x = 6,266,998,269.14/51,000.25
  6. Step 6: Final answer
    x = 122,881.72

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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.