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Finding the Third Proportional to 52,538.63 and 81,480.94

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Solution

The third proportional to 52,538.63 and 81,480.94 is: 126,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.63 : 81,480.94 = 81,480.94 : x
  2. Step 2: Convert to fraction form
    52,538.63/81,480.94 = 81,480.94/x
  3. Step 3: Cross multiply
    52,538.63x = 81,480.94 × 81,480.94
  4. Step 4: Simplify right side
    52,538.63x = 6,639,143,175.88
  5. Step 5: Solve for x
    x = 6,639,143,175.88/52,538.63
  6. Step 6: Final answer
    x = 126,366.90

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Why These Related Problems?

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