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Finding the Third Proportional to 52,838.26 and 81,909.98

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Solution

The third proportional to 52,838.26 and 81,909.98 is: 126,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838.26 : 81,909.98 = 81,909.98 : x
  2. Step 2: Convert to fraction form
    52,838.26/81,909.98 = 81,909.98/x
  3. Step 3: Cross multiply
    52,838.26x = 81,909.98 × 81,909.98
  4. Step 4: Simplify right side
    52,838.26x = 6,709,245,540.31
  5. Step 5: Solve for x
    x = 6,709,245,540.31/52,838.26
  6. Step 6: Final answer
    x = 126,977.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.