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Finding the Third Proportional to 51,001.88 and 79,166.81

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Solution

The third proportional to 51,001.88 and 79,166.81 is: 122,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,001.88 : 79,166.81 = 79,166.81 : x
  2. Step 2: Convert to fraction form
    51,001.88/79,166.81 = 79,166.81/x
  3. Step 3: Cross multiply
    51,001.88x = 79,166.81 × 79,166.81
  4. Step 4: Simplify right side
    51,001.88x = 6,267,384,201.41
  5. Step 5: Solve for x
    x = 6,267,384,201.41/51,001.88
  6. Step 6: Final answer
    x = 122,885.37

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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.