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Finding the Third Proportional to 57,519 and 122,490

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Solution

The third proportional to 57,519 and 122,490 is: 260,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,519 : 122,490 = 122,490 : x
  2. Step 2: Convert to fraction form
    57,519/122,490 = 122,490/x
  3. Step 3: Cross multiply
    57,519x = 122,490 × 122,490
  4. Step 4: Simplify right side
    57,519x = 15,003,800,100
  5. Step 5: Solve for x
    x = 15,003,800,100/57,519
  6. Step 6: Final answer
    x = 260,849.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.