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Finding the Third Proportional to 70,073 and 100,735

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Solution

The third proportional to 70,073 and 100,735 is: 144,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,073 : 100,735 = 100,735 : x
  2. Step 2: Convert to fraction form
    70,073/100,735 = 100,735/x
  3. Step 3: Cross multiply
    70,073x = 100,735 × 100,735
  4. Step 4: Simplify right side
    70,073x = 10,147,540,225
  5. Step 5: Solve for x
    x = 10,147,540,225/70,073
  6. Step 6: Final answer
    x = 144,813.84

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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.