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Finding the Third Proportional to 72,451.13 and 110,836.69

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Solution

The third proportional to 72,451.13 and 110,836.69 is: 169,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,451.13 : 110,836.69 = 110,836.69 : x
  2. Step 2: Convert to fraction form
    72,451.13/110,836.69 = 110,836.69/x
  3. Step 3: Cross multiply
    72,451.13x = 110,836.69 × 110,836.69
  4. Step 4: Simplify right side
    72,451.13x = 12,284,771,295.97
  5. Step 5: Solve for x
    x = 12,284,771,295.97/72,451.13
  6. Step 6: Final answer
    x = 169,559.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.