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Finding the Third Proportional to 52,406 and 80,536

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Solution

The third proportional to 52,406 and 80,536 is: 123,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406 : 80,536 = 80,536 : x
  2. Step 2: Convert to fraction form
    52,406/80,536 = 80,536/x
  3. Step 3: Cross multiply
    52,406x = 80,536 × 80,536
  4. Step 4: Simplify right side
    52,406x = 6,486,047,296
  5. Step 5: Solve for x
    x = 6,486,047,296/52,406
  6. Step 6: Final answer
    x = 123,765.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.