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Finding the Third Proportional to 78,483 and 166,764

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Solution

The third proportional to 78,483 and 166,764 is: 354,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,483 : 166,764 = 166,764 : x
  2. Step 2: Convert to fraction form
    78,483/166,764 = 166,764/x
  3. Step 3: Cross multiply
    78,483x = 166,764 × 166,764
  4. Step 4: Simplify right side
    78,483x = 27,810,231,696
  5. Step 5: Solve for x
    x = 27,810,231,696/78,483
  6. Step 6: Final answer
    x = 354,347.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.