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Finding the Third Proportional to 45,715 and 68,573

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Solution

The third proportional to 45,715 and 68,573 is: 102,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,715 : 68,573 = 68,573 : x
  2. Step 2: Convert to fraction form
    45,715/68,573 = 68,573/x
  3. Step 3: Cross multiply
    45,715x = 68,573 × 68,573
  4. Step 4: Simplify right side
    45,715x = 4,702,256,329
  5. Step 5: Solve for x
    x = 4,702,256,329/45,715
  6. Step 6: Final answer
    x = 102,860.25

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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.