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Finding the Third Proportional to 57,692.25 and 123,595.88

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Solution

The third proportional to 57,692.25 and 123,595.88 is: 264,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692.25 : 123,595.88 = 123,595.88 : x
  2. Step 2: Convert to fraction form
    57,692.25/123,595.88 = 123,595.88/x
  3. Step 3: Cross multiply
    57,692.25x = 123,595.88 × 123,595.88
  4. Step 4: Simplify right side
    57,692.25x = 15,275,940,317.02
  5. Step 5: Solve for x
    x = 15,275,940,317.02/57,692.25
  6. Step 6: Final answer
    x = 264,783.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.