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Finding the Third Proportional to 45,750 and 68,735

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Solution

The third proportional to 45,750 and 68,735 is: 103,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,750 : 68,735 = 68,735 : x
  2. Step 2: Convert to fraction form
    45,750/68,735 = 68,735/x
  3. Step 3: Cross multiply
    45,750x = 68,735 × 68,735
  4. Step 4: Simplify right side
    45,750x = 4,724,500,225
  5. Step 5: Solve for x
    x = 4,724,500,225/45,750
  6. Step 6: Final answer
    x = 103,267.76

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Why These Related Problems?

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