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Finding the Third Proportional to 68,379.75 and 147,692.25

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Solution

The third proportional to 68,379.75 and 147,692.25 is: 318,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,379.75 : 147,692.25 = 147,692.25 : x
  2. Step 2: Convert to fraction form
    68,379.75/147,692.25 = 147,692.25/x
  3. Step 3: Cross multiply
    68,379.75x = 147,692.25 × 147,692.25
  4. Step 4: Simplify right side
    68,379.75x = 21,813,000,710.06
  5. Step 5: Solve for x
    x = 21,813,000,710.06/68,379.75
  6. Step 6: Final answer
    x = 318,997.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.