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Finding the Third Proportional to 112,834 and 235,119

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Solution

The third proportional to 112,834 and 235,119 is: 489,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,834 : 235,119 = 235,119 : x
  2. Step 2: Convert to fraction form
    112,834/235,119 = 235,119/x
  3. Step 3: Cross multiply
    112,834x = 235,119 × 235,119
  4. Step 4: Simplify right side
    112,834x = 55,280,944,161
  5. Step 5: Solve for x
    x = 55,280,944,161/112,834
  6. Step 6: Final answer
    x = 489,931.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.