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Finding the Third Proportional to 50,456.25 and 78,080.63

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Solution

The third proportional to 50,456.25 and 78,080.63 is: 120,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,456.25 : 78,080.63 = 78,080.63 : x
  2. Step 2: Convert to fraction form
    50,456.25/78,080.63 = 78,080.63/x
  3. Step 3: Cross multiply
    50,456.25x = 78,080.63 × 78,080.63
  4. Step 4: Simplify right side
    50,456.25x = 6,096,584,000.39
  5. Step 5: Solve for x
    x = 6,096,584,000.39/50,456.25
  6. Step 6: Final answer
    x = 120,829.11

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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.