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Finding the Third Proportional to 112,991 and 245,422

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Solution

The third proportional to 112,991 and 245,422 is: 533,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,991 : 245,422 = 245,422 : x
  2. Step 2: Convert to fraction form
    112,991/245,422 = 245,422/x
  3. Step 3: Cross multiply
    112,991x = 245,422 × 245,422
  4. Step 4: Simplify right side
    112,991x = 60,231,958,084
  5. Step 5: Solve for x
    x = 60,231,958,084/112,991
  6. Step 6: Final answer
    x = 533,068.63

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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.