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Finding the Third Proportional to 70,441.50 and 109,242

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Solution

The third proportional to 70,441.50 and 109,242 is: 169,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,441.50 : 109,242 = 109,242 : x
  2. Step 2: Convert to fraction form
    70,441.50/109,242 = 109,242/x
  3. Step 3: Cross multiply
    70,441.50x = 109,242 × 109,242
  4. Step 4: Simplify right side
    70,441.50x = 11,933,814,564
  5. Step 5: Solve for x
    x = 11,933,814,564/70,441.50
  6. Step 6: Final answer
    x = 169,414.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.