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Finding the Third Proportional to 55,116 and 82,552

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Solution

The third proportional to 55,116 and 82,552 is: 123,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116 : 82,552 = 82,552 : x
  2. Step 2: Convert to fraction form
    55,116/82,552 = 82,552/x
  3. Step 3: Cross multiply
    55,116x = 82,552 × 82,552
  4. Step 4: Simplify right side
    55,116x = 6,814,832,704
  5. Step 5: Solve for x
    x = 6,814,832,704/55,116
  6. Step 6: Final answer
    x = 123,645.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.