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Finding the Third Proportional to 85,991.63 and 123,860.25

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Solution

The third proportional to 85,991.63 and 123,860.25 is: 178,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,991.63 : 123,860.25 = 123,860.25 : x
  2. Step 2: Convert to fraction form
    85,991.63/123,860.25 = 123,860.25/x
  3. Step 3: Cross multiply
    85,991.63x = 123,860.25 × 123,860.25
  4. Step 4: Simplify right side
    85,991.63x = 15,341,361,530.06
  5. Step 5: Solve for x
    x = 15,341,361,530.06/85,991.63
  6. Step 6: Final answer
    x = 178,405.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.