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Finding the Third Proportional to 112,982 and 245,638

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Solution

The third proportional to 112,982 and 245,638 is: 534,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,982 : 245,638 = 245,638 : x
  2. Step 2: Convert to fraction form
    112,982/245,638 = 245,638/x
  3. Step 3: Cross multiply
    112,982x = 245,638 × 245,638
  4. Step 4: Simplify right side
    112,982x = 60,338,027,044
  5. Step 5: Solve for x
    x = 60,338,027,044/112,982
  6. Step 6: Final answer
    x = 534,049.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.