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Finding the Third Proportional to 123,773 and 185,933

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Solution

The third proportional to 123,773 and 185,933 is: 279,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,773 : 185,933 = 185,933 : x
  2. Step 2: Convert to fraction form
    123,773/185,933 = 185,933/x
  3. Step 3: Cross multiply
    123,773x = 185,933 × 185,933
  4. Step 4: Simplify right side
    123,773x = 34,571,080,489
  5. Step 5: Solve for x
    x = 34,571,080,489/123,773
  6. Step 6: Final answer
    x = 279,310.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.