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Finding the Third Proportional to 125,973 and 276,519

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Solution

The third proportional to 125,973 and 276,519 is: 606,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,973 : 276,519 = 276,519 : x
  2. Step 2: Convert to fraction form
    125,973/276,519 = 276,519/x
  3. Step 3: Cross multiply
    125,973x = 276,519 × 276,519
  4. Step 4: Simplify right side
    125,973x = 76,462,757,361
  5. Step 5: Solve for x
    x = 76,462,757,361/125,973
  6. Step 6: Final answer
    x = 606,977.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.