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Finding the Third Proportional to 118,834 and 162,942

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Solution

The third proportional to 118,834 and 162,942 is: 223,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,834 : 162,942 = 162,942 : x
  2. Step 2: Convert to fraction form
    118,834/162,942 = 162,942/x
  3. Step 3: Cross multiply
    118,834x = 162,942 × 162,942
  4. Step 4: Simplify right side
    118,834x = 26,550,095,364
  5. Step 5: Solve for x
    x = 26,550,095,364/118,834
  6. Step 6: Final answer
    x = 223,421.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.