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Finding the Third Proportional to 51,616.50 and 76,465.50

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Solution

The third proportional to 51,616.50 and 76,465.50 is: 113,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,616.50 : 76,465.50 = 76,465.50 : x
  2. Step 2: Convert to fraction form
    51,616.50/76,465.50 = 76,465.50/x
  3. Step 3: Cross multiply
    51,616.50x = 76,465.50 × 76,465.50
  4. Step 4: Simplify right side
    51,616.50x = 5,846,972,690.25
  5. Step 5: Solve for x
    x = 5,846,972,690.25/51,616.50
  6. Step 6: Final answer
    x = 113,277.20

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.