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Finding the Third Proportional to 50,712.96 and 78,834.52

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Solution

The third proportional to 50,712.96 and 78,834.52 is: 122,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,712.96 : 78,834.52 = 78,834.52 : x
  2. Step 2: Convert to fraction form
    50,712.96/78,834.52 = 78,834.52/x
  3. Step 3: Cross multiply
    50,712.96x = 78,834.52 × 78,834.52
  4. Step 4: Simplify right side
    50,712.96x = 6,214,880,853.83
  5. Step 5: Solve for x
    x = 6,214,880,853.83/50,712.96
  6. Step 6: Final answer
    x = 122,550.15

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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.