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Finding the Third Proportional to 56,104 and 82,493

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Solution

The third proportional to 56,104 and 82,493 is: 121,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,104 : 82,493 = 82,493 : x
  2. Step 2: Convert to fraction form
    56,104/82,493 = 82,493/x
  3. Step 3: Cross multiply
    56,104x = 82,493 × 82,493
  4. Step 4: Simplify right side
    56,104x = 6,805,095,049
  5. Step 5: Solve for x
    x = 6,805,095,049/56,104
  6. Step 6: Final answer
    x = 121,294.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.