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Finding the Third Proportional to 112,823 and 245,100

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Solution

The third proportional to 112,823 and 245,100 is: 532,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,823 : 245,100 = 245,100 : x
  2. Step 2: Convert to fraction form
    112,823/245,100 = 245,100/x
  3. Step 3: Cross multiply
    112,823x = 245,100 × 245,100
  4. Step 4: Simplify right side
    112,823x = 60,074,010,000
  5. Step 5: Solve for x
    x = 60,074,010,000/112,823
  6. Step 6: Final answer
    x = 532,462.44

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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.