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Finding the Third Proportional to 112,743 and 234,813

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Solution

The third proportional to 112,743 and 234,813 is: 489,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,743 : 234,813 = 234,813 : x
  2. Step 2: Convert to fraction form
    112,743/234,813 = 234,813/x
  3. Step 3: Cross multiply
    112,743x = 234,813 × 234,813
  4. Step 4: Simplify right side
    112,743x = 55,137,144,969
  5. Step 5: Solve for x
    x = 55,137,144,969/112,743
  6. Step 6: Final answer
    x = 489,051.60

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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.