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Finding the Third Proportional to 56,406 and 75,273

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Solution

The third proportional to 56,406 and 75,273 is: 100,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406 : 75,273 = 75,273 : x
  2. Step 2: Convert to fraction form
    56,406/75,273 = 75,273/x
  3. Step 3: Cross multiply
    56,406x = 75,273 × 75,273
  4. Step 4: Simplify right side
    56,406x = 5,666,024,529
  5. Step 5: Solve for x
    x = 5,666,024,529/56,406
  6. Step 6: Final answer
    x = 100,450.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.