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Finding the Third Proportional to 120,263 and 186,942

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Solution

The third proportional to 120,263 and 186,942 is: 290,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,263 : 186,942 = 186,942 : x
  2. Step 2: Convert to fraction form
    120,263/186,942 = 186,942/x
  3. Step 3: Cross multiply
    120,263x = 186,942 × 186,942
  4. Step 4: Simplify right side
    120,263x = 34,947,311,364
  5. Step 5: Solve for x
    x = 34,947,311,364/120,263
  6. Step 6: Final answer
    x = 290,590.72

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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.