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Finding the Third Proportional to 76,043.81 and 110,144.81

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Solution

The third proportional to 76,043.81 and 110,144.81 is: 159,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,043.81 : 110,144.81 = 110,144.81 : x
  2. Step 2: Convert to fraction form
    76,043.81/110,144.81 = 110,144.81/x
  3. Step 3: Cross multiply
    76,043.81x = 110,144.81 × 110,144.81
  4. Step 4: Simplify right side
    76,043.81x = 12,131,879,720.66
  5. Step 5: Solve for x
    x = 12,131,879,720.66/76,043.81
  6. Step 6: Final answer
    x = 159,538.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.