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Finding the Third Proportional to 112,745 and 234,817

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Solution

The third proportional to 112,745 and 234,817 is: 489,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,745 : 234,817 = 234,817 : x
  2. Step 2: Convert to fraction form
    112,745/234,817 = 234,817/x
  3. Step 3: Cross multiply
    112,745x = 234,817 × 234,817
  4. Step 4: Simplify right side
    112,745x = 55,139,023,489
  5. Step 5: Solve for x
    x = 55,139,023,489/112,745
  6. Step 6: Final answer
    x = 489,059.59

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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.