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Finding the Third Proportional to 45,906.75 and 70,221.94

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Solution

The third proportional to 45,906.75 and 70,221.94 is: 107,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906.75 : 70,221.94 = 70,221.94 : x
  2. Step 2: Convert to fraction form
    45,906.75/70,221.94 = 70,221.94/x
  3. Step 3: Cross multiply
    45,906.75x = 70,221.94 × 70,221.94
  4. Step 4: Simplify right side
    45,906.75x = 4,931,120,506.25
  5. Step 5: Solve for x
    x = 4,931,120,506.25/45,906.75
  6. Step 6: Final answer
    x = 107,416.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.