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Finding the Third Proportional to 56,508 and 69,144

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Solution

The third proportional to 56,508 and 69,144 is: 84,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,508 : 69,144 = 69,144 : x
  2. Step 2: Convert to fraction form
    56,508/69,144 = 69,144/x
  3. Step 3: Cross multiply
    56,508x = 69,144 × 69,144
  4. Step 4: Simplify right side
    56,508x = 4,780,892,736
  5. Step 5: Solve for x
    x = 4,780,892,736/56,508
  6. Step 6: Final answer
    x = 84,605.59

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.