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Finding the Third Proportional to 51,718 and 80,073

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Solution

The third proportional to 51,718 and 80,073 is: 123,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,718 : 80,073 = 80,073 : x
  2. Step 2: Convert to fraction form
    51,718/80,073 = 80,073/x
  3. Step 3: Cross multiply
    51,718x = 80,073 × 80,073
  4. Step 4: Simplify right side
    51,718x = 6,411,685,329
  5. Step 5: Solve for x
    x = 6,411,685,329/51,718
  6. Step 6: Final answer
    x = 123,973.96

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Why These Related Problems?

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