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Finding the Third Proportional to 50,221.27 and 77,826.45

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Solution

The third proportional to 50,221.27 and 77,826.45 is: 120,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221.27 : 77,826.45 = 77,826.45 : x
  2. Step 2: Convert to fraction form
    50,221.27/77,826.45 = 77,826.45/x
  3. Step 3: Cross multiply
    50,221.27x = 77,826.45 × 77,826.45
  4. Step 4: Simplify right side
    50,221.27x = 6,056,955,589.98
  5. Step 5: Solve for x
    x = 6,056,955,589.98/50,221.27
  6. Step 6: Final answer
    x = 120,605.40

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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.