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Finding the Third Proportional to 52,692.75 and 112,763.25

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Solution

The third proportional to 52,692.75 and 112,763.25 is: 241,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692.75 : 112,763.25 = 112,763.25 : x
  2. Step 2: Convert to fraction form
    52,692.75/112,763.25 = 112,763.25/x
  3. Step 3: Cross multiply
    52,692.75x = 112,763.25 × 112,763.25
  4. Step 4: Simplify right side
    52,692.75x = 12,715,550,550.56
  5. Step 5: Solve for x
    x = 12,715,550,550.56/52,692.75
  6. Step 6: Final answer
    x = 241,314.99

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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.