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Finding the Third Proportional to 112,745 and 242,932

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Solution

The third proportional to 112,745 and 242,932 is: 523,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,745 : 242,932 = 242,932 : x
  2. Step 2: Convert to fraction form
    112,745/242,932 = 242,932/x
  3. Step 3: Cross multiply
    112,745x = 242,932 × 242,932
  4. Step 4: Simplify right side
    112,745x = 59,015,956,624
  5. Step 5: Solve for x
    x = 59,015,956,624/112,745
  6. Step 6: Final answer
    x = 523,446.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.