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Finding the Third Proportional to 52,546 and 80,466

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Solution

The third proportional to 52,546 and 80,466 is: 123,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,546 : 80,466 = 80,466 : x
  2. Step 2: Convert to fraction form
    52,546/80,466 = 80,466/x
  3. Step 3: Cross multiply
    52,546x = 80,466 × 80,466
  4. Step 4: Simplify right side
    52,546x = 6,474,777,156
  5. Step 5: Solve for x
    x = 6,474,777,156/52,546
  6. Step 6: Final answer
    x = 123,221.12

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Why These Related Problems?

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