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Finding the Third Proportional to 45,679.50 and 68,302.69

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Solution

The third proportional to 45,679.50 and 68,302.69 is: 102,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,679.50 : 68,302.69 = 68,302.69 : x
  2. Step 2: Convert to fraction form
    45,679.50/68,302.69 = 68,302.69/x
  3. Step 3: Cross multiply
    45,679.50x = 68,302.69 × 68,302.69
  4. Step 4: Simplify right side
    45,679.50x = 4,665,257,119.72
  5. Step 5: Solve for x
    x = 4,665,257,119.72/45,679.50
  6. Step 6: Final answer
    x = 102,130.21

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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.