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Finding the Third Proportional to 50,481.98 and 78,156.14

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Solution

The third proportional to 50,481.98 and 78,156.14 is: 121,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,481.98 : 78,156.14 = 78,156.14 : x
  2. Step 2: Convert to fraction form
    50,481.98/78,156.14 = 78,156.14/x
  3. Step 3: Cross multiply
    50,481.98x = 78,156.14 × 78,156.14
  4. Step 4: Simplify right side
    50,481.98x = 6,108,382,317.39
  5. Step 5: Solve for x
    x = 6,108,382,317.39/50,481.98
  6. Step 6: Final answer
    x = 121,001.23

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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.