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Finding the Third Proportional to 119,972 and 262,543

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Solution

The third proportional to 119,972 and 262,543 is: 574,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,972 : 262,543 = 262,543 : x
  2. Step 2: Convert to fraction form
    119,972/262,543 = 262,543/x
  3. Step 3: Cross multiply
    119,972x = 262,543 × 262,543
  4. Step 4: Simplify right side
    119,972x = 68,928,826,849
  5. Step 5: Solve for x
    x = 68,928,826,849/119,972
  6. Step 6: Final answer
    x = 574,540.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.