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Finding the Third Proportional to 45,620 and 67,764

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Solution

The third proportional to 45,620 and 67,764 is: 100,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,620 : 67,764 = 67,764 : x
  2. Step 2: Convert to fraction form
    45,620/67,764 = 67,764/x
  3. Step 3: Cross multiply
    45,620x = 67,764 × 67,764
  4. Step 4: Simplify right side
    45,620x = 4,591,959,696
  5. Step 5: Solve for x
    x = 4,591,959,696/45,620
  6. Step 6: Final answer
    x = 100,656.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.