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Finding the Third Proportional to 119,976 and 186,252

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Solution

The third proportional to 119,976 and 186,252 is: 289,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,976 : 186,252 = 186,252 : x
  2. Step 2: Convert to fraction form
    119,976/186,252 = 186,252/x
  3. Step 3: Cross multiply
    119,976x = 186,252 × 186,252
  4. Step 4: Simplify right side
    119,976x = 34,689,807,504
  5. Step 5: Solve for x
    x = 34,689,807,504/119,976
  6. Step 6: Final answer
    x = 289,139.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.