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Finding the Third Proportional to 75,633 and 108,954

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Solution

The third proportional to 75,633 and 108,954 is: 156,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,633 : 108,954 = 108,954 : x
  2. Step 2: Convert to fraction form
    75,633/108,954 = 108,954/x
  3. Step 3: Cross multiply
    75,633x = 108,954 × 108,954
  4. Step 4: Simplify right side
    75,633x = 11,870,974,116
  5. Step 5: Solve for x
    x = 11,870,974,116/75,633
  6. Step 6: Final answer
    x = 156,954.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.