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Finding the Third Proportional to 56,983 and 83,625

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Solution

The third proportional to 56,983 and 83,625 is: 122,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,983 : 83,625 = 83,625 : x
  2. Step 2: Convert to fraction form
    56,983/83,625 = 83,625/x
  3. Step 3: Cross multiply
    56,983x = 83,625 × 83,625
  4. Step 4: Simplify right side
    56,983x = 6,993,140,625
  5. Step 5: Solve for x
    x = 6,993,140,625/56,983
  6. Step 6: Final answer
    x = 122,723.28

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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.