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Finding the Third Proportional to 77,725.13 and 120,022.69

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Solution

The third proportional to 77,725.13 and 120,022.69 is: 185,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,725.13 : 120,022.69 = 120,022.69 : x
  2. Step 2: Convert to fraction form
    77,725.13/120,022.69 = 120,022.69/x
  3. Step 3: Cross multiply
    77,725.13x = 120,022.69 × 120,022.69
  4. Step 4: Simplify right side
    77,725.13x = 14,405,445,514.72
  5. Step 5: Solve for x
    x = 14,405,445,514.72/77,725.13
  6. Step 6: Final answer
    x = 185,338.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.