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Finding the Third Proportional to 84,704.06 and 112,923.42

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Solution

The third proportional to 84,704.06 and 112,923.42 is: 150,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,704.06 : 112,923.42 = 112,923.42 : x
  2. Step 2: Convert to fraction form
    84,704.06/112,923.42 = 112,923.42/x
  3. Step 3: Cross multiply
    84,704.06x = 112,923.42 × 112,923.42
  4. Step 4: Simplify right side
    84,704.06x = 12,751,699,207.96
  5. Step 5: Solve for x
    x = 12,751,699,207.96/84,704.06
  6. Step 6: Final answer
    x = 150,544.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.