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Finding the Third Proportional to 52,867.69 and 80,975.95

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Solution

The third proportional to 52,867.69 and 80,975.95 is: 124,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867.69 : 80,975.95 = 80,975.95 : x
  2. Step 2: Convert to fraction form
    52,867.69/80,975.95 = 80,975.95/x
  3. Step 3: Cross multiply
    52,867.69x = 80,975.95 × 80,975.95
  4. Step 4: Simplify right side
    52,867.69x = 6,557,104,984.50
  5. Step 5: Solve for x
    x = 6,557,104,984.50/52,867.69
  6. Step 6: Final answer
    x = 124,028.59

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