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Finding the Third Proportional to 52,863 and 80,969.50

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Solution

The third proportional to 52,863 and 80,969.50 is: 124,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,863 : 80,969.50 = 80,969.50 : x
  2. Step 2: Convert to fraction form
    52,863/80,969.50 = 80,969.50/x
  3. Step 3: Cross multiply
    52,863x = 80,969.50 × 80,969.50
  4. Step 4: Simplify right side
    52,863x = 6,556,059,930.25
  5. Step 5: Solve for x
    x = 6,556,059,930.25/52,863
  6. Step 6: Final answer
    x = 124,019.82

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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.