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Finding the Third Proportional to 49,505 and 67,262.25

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Solution

The third proportional to 49,505 and 67,262.25 is: 91,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,505 : 67,262.25 = 67,262.25 : x
  2. Step 2: Convert to fraction form
    49,505/67,262.25 = 67,262.25/x
  3. Step 3: Cross multiply
    49,505x = 67,262.25 × 67,262.25
  4. Step 4: Simplify right side
    49,505x = 4,524,210,275.06
  5. Step 5: Solve for x
    x = 4,524,210,275.06/49,505
  6. Step 6: Final answer
    x = 91,388.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.