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Finding the Third Proportional to 50,715 and 78,836.06

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Solution

The third proportional to 50,715 and 78,836.06 is: 122,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,715 : 78,836.06 = 78,836.06 : x
  2. Step 2: Convert to fraction form
    50,715/78,836.06 = 78,836.06/x
  3. Step 3: Cross multiply
    50,715x = 78,836.06 × 78,836.06
  4. Step 4: Simplify right side
    50,715x = 6,215,124,750.50
  5. Step 5: Solve for x
    x = 6,215,124,750.50/50,715
  6. Step 6: Final answer
    x = 122,550.03

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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.