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Finding the Third Proportional to 52,441.88 and 83,080.69

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Solution

The third proportional to 52,441.88 and 83,080.69 is: 131,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,441.88 : 83,080.69 = 83,080.69 : x
  2. Step 2: Convert to fraction form
    52,441.88/83,080.69 = 83,080.69/x
  3. Step 3: Cross multiply
    52,441.88x = 83,080.69 × 83,080.69
  4. Step 4: Simplify right side
    52,441.88x = 6,902,400,635.47
  5. Step 5: Solve for x
    x = 6,902,400,635.47/52,441.88
  6. Step 6: Final answer
    x = 131,620.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.