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Finding the Third Proportional to 56,530 and 83,109

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Solution

The third proportional to 56,530 and 83,109 is: 122,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,530 : 83,109 = 83,109 : x
  2. Step 2: Convert to fraction form
    56,530/83,109 = 83,109/x
  3. Step 3: Cross multiply
    56,530x = 83,109 × 83,109
  4. Step 4: Simplify right side
    56,530x = 6,907,105,881
  5. Step 5: Solve for x
    x = 6,907,105,881/56,530
  6. Step 6: Final answer
    x = 122,184.78

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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.